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Finding the Fourth Proportional to 704,965.76, 972,869.19 and 418,486.94

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Solution

The fourth proportional to 704,965.76, 972,869.19 and 418,486.94 is: 577,521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,965.76 : 972,869.19 = 418,486.94 : x
  2. Step 2: Convert to fraction form
    704,965.76/972,869.19 = 418,486.94/x
  3. Step 3: Cross multiply
    704,965.76x = 972,869.19 × 418,486.94
  4. Step 4: Simplify right side
    704,965.76x = 407,133,050,343.38
  5. Step 5: Solve for x
    x = 407,133,050,343.38/704,965.76
  6. Step 6: Final answer
    x = 577,521.74

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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.