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Finding the Fourth Proportional to 477,935.10, 716,902.65 and 457,458.30

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Solution

The fourth proportional to 477,935.10, 716,902.65 and 457,458.30 is: 686,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,935.10 : 716,902.65 = 457,458.30 : x
  2. Step 2: Convert to fraction form
    477,935.10/716,902.65 = 457,458.30/x
  3. Step 3: Cross multiply
    477,935.10x = 716,902.65 × 457,458.30
  4. Step 4: Simplify right side
    477,935.10x = 327,953,067,534.50
  5. Step 5: Solve for x
    x = 327,953,067,534.50/477,935.10
  6. Step 6: Final answer
    x = 686,187.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.