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Finding the Fourth Proportional to 710,167.40, 1,065,711.90 and 410,647.40

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Solution

The fourth proportional to 710,167.40, 1,065,711.90 and 410,647.40 is: 616,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,167.40 : 1,065,711.90 = 410,647.40 : x
  2. Step 2: Convert to fraction form
    710,167.40/1,065,711.90 = 410,647.40/x
  3. Step 3: Cross multiply
    710,167.40x = 1,065,711.90 × 410,647.40
  4. Step 4: Simplify right side
    710,167.40x = 437,631,820,884.06
  5. Step 5: Solve for x
    x = 437,631,820,884.06/710,167.40
  6. Step 6: Final answer
    x = 616,237.55

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Why These Related Problems?

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