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Finding the Fourth Proportional to 646,580.40, 970,907.40 and 437,146.80

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Solution

The fourth proportional to 646,580.40, 970,907.40 and 437,146.80 is: 656,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,580.40 : 970,907.40 = 437,146.80 : x
  2. Step 2: Convert to fraction form
    646,580.40/970,907.40 = 437,146.80/x
  3. Step 3: Cross multiply
    646,580.40x = 970,907.40 × 437,146.80
  4. Step 4: Simplify right side
    646,580.40x = 424,429,063,006.32
  5. Step 5: Solve for x
    x = 424,429,063,006.32/646,580.40
  6. Step 6: Final answer
    x = 656,421.17

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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.