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Finding the Fourth Proportional to 510,711.49, 760,038.31 and 493,683.57

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Solution

The fourth proportional to 510,711.49, 760,038.31 and 493,683.57 is: 734,697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,711.49 : 760,038.31 = 493,683.57 : x
  2. Step 2: Convert to fraction form
    510,711.49/760,038.31 = 493,683.57/x
  3. Step 3: Cross multiply
    510,711.49x = 760,038.31 × 493,683.57
  4. Step 4: Simplify right side
    510,711.49x = 375,218,426,217.57
  5. Step 5: Solve for x
    x = 375,218,426,217.57/510,711.49
  6. Step 6: Final answer
    x = 734,697.44

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.