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Finding the Fourth Proportional to 657,301.33, 983,357.84 and 497,836.74

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Solution

The fourth proportional to 657,301.33, 983,357.84 and 497,836.74 is: 744,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,301.33 : 983,357.84 = 497,836.74 : x
  2. Step 2: Convert to fraction form
    657,301.33/983,357.84 = 497,836.74/x
  3. Step 3: Cross multiply
    657,301.33x = 983,357.84 × 497,836.74
  4. Step 4: Simplify right side
    657,301.33x = 489,551,666,251.23
  5. Step 5: Solve for x
    x = 489,551,666,251.23/657,301.33
  6. Step 6: Final answer
    x = 744,790.32

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Why These Related Problems?

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