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Finding the Fourth Proportional to 696,098.40, 972,175.80 and 696,098.40

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Solution

The fourth proportional to 696,098.40, 972,175.80 and 696,098.40 is: 972,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,098.40 : 972,175.80 = 696,098.40 : x
  2. Step 2: Convert to fraction form
    696,098.40/972,175.80 = 696,098.40/x
  3. Step 3: Cross multiply
    696,098.40x = 972,175.80 × 696,098.40
  4. Step 4: Simplify right side
    696,098.40x = 676,730,018,898.72
  5. Step 5: Solve for x
    x = 676,730,018,898.72/696,098.40
  6. Step 6: Final answer
    x = 972,175.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.