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Finding the Fourth Proportional to 657,288, 907,057.44 and 355,482

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Solution

The fourth proportional to 657,288, 907,057.44 and 355,482 is: 490,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,288 : 907,057.44 = 355,482 : x
  2. Step 2: Convert to fraction form
    657,288/907,057.44 = 355,482/x
  3. Step 3: Cross multiply
    657,288x = 907,057.44 × 355,482
  4. Step 4: Simplify right side
    657,288x = 322,442,592,886.08
  5. Step 5: Solve for x
    x = 322,442,592,886.08/657,288
  6. Step 6: Final answer
    x = 490,565.16

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