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Finding the Fourth Proportional to 514,585.53, 710,117.39 and 285,140.81

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Solution

The fourth proportional to 514,585.53, 710,117.39 and 285,140.81 is: 393,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,585.53 : 710,117.39 = 285,140.81 : x
  2. Step 2: Convert to fraction form
    514,585.53/710,117.39 = 285,140.81/x
  3. Step 3: Cross multiply
    514,585.53x = 710,117.39 × 285,140.81
  4. Step 4: Simplify right side
    514,585.53x = 202,483,442,803.40
  5. Step 5: Solve for x
    x = 202,483,442,803.40/514,585.53
  6. Step 6: Final answer
    x = 393,488.41

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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.