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Finding the Fourth Proportional to 514,142.47, 709,523.96 and 296,230.94

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Solution

The fourth proportional to 514,142.47, 709,523.96 and 296,230.94 is: 408,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,142.47 : 709,523.96 = 296,230.94 : x
  2. Step 2: Convert to fraction form
    514,142.47/709,523.96 = 296,230.94/x
  3. Step 3: Cross multiply
    514,142.47x = 709,523.96 × 296,230.94
  4. Step 4: Simplify right side
    514,142.47x = 210,182,947,255.26
  5. Step 5: Solve for x
    x = 210,182,947,255.26/514,142.47
  6. Step 6: Final answer
    x = 408,802.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.