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Finding the Fourth Proportional to 712,585.44, 983,386.98 and 402,463.14

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Solution

The fourth proportional to 712,585.44, 983,386.98 and 402,463.14 is: 555,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,585.44 : 983,386.98 = 402,463.14 : x
  2. Step 2: Convert to fraction form
    712,585.44/983,386.98 = 402,463.14/x
  3. Step 3: Cross multiply
    712,585.44x = 983,386.98 × 402,463.14
  4. Step 4: Simplify right side
    712,585.44x = 395,777,011,805.92
  5. Step 5: Solve for x
    x = 395,777,011,805.92/712,585.44
  6. Step 6: Final answer
    x = 555,409.91

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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.