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Finding the Fourth Proportional to 713,824.77, 1,069,309.58 and 429,358.26

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Solution

The fourth proportional to 713,824.77, 1,069,309.58 and 429,358.26 is: 643,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,824.77 : 1,069,309.58 = 429,358.26 : x
  2. Step 2: Convert to fraction form
    713,824.77/1,069,309.58 = 429,358.26/x
  3. Step 3: Cross multiply
    713,824.77x = 1,069,309.58 × 429,358.26
  4. Step 4: Simplify right side
    713,824.77x = 459,116,898,523.34
  5. Step 5: Solve for x
    x = 459,116,898,523.34/713,824.77
  6. Step 6: Final answer
    x = 643,178.72

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