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Finding the Fourth Proportional to 713,810.88, 1,070,938.08 and 429,814.08

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Solution

The fourth proportional to 713,810.88, 1,070,938.08 and 429,814.08 is: 644,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,810.88 : 1,070,938.08 = 429,814.08 : x
  2. Step 2: Convert to fraction form
    713,810.88/1,070,938.08 = 429,814.08/x
  3. Step 3: Cross multiply
    713,810.88x = 1,070,938.08 × 429,814.08
  4. Step 4: Simplify right side
    713,810.88x = 460,304,265,592.17
  5. Step 5: Solve for x
    x = 460,304,265,592.17/713,810.88
  6. Step 6: Final answer
    x = 644,854.65

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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.