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Finding the Fourth Proportional to 514,607.13, 708,572.61 and 457,146.81

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Solution

The fourth proportional to 514,607.13, 708,572.61 and 457,146.81 is: 629,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,607.13 : 708,572.61 = 457,146.81 : x
  2. Step 2: Convert to fraction form
    514,607.13/708,572.61 = 457,146.81/x
  3. Step 3: Cross multiply
    514,607.13x = 708,572.61 × 457,146.81
  4. Step 4: Simplify right side
    514,607.13x = 323,921,708,314.87
  5. Step 5: Solve for x
    x = 323,921,708,314.87/514,607.13
  6. Step 6: Final answer
    x = 629,454.37

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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.