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Finding the Fourth Proportional to 652,314.80, 978,472.20 and 559,002.80

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Solution

The fourth proportional to 652,314.80, 978,472.20 and 559,002.80 is: 838,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,314.80 : 978,472.20 = 559,002.80 : x
  2. Step 2: Convert to fraction form
    652,314.80/978,472.20 = 559,002.80/x
  3. Step 3: Cross multiply
    652,314.80x = 978,472.20 × 559,002.80
  4. Step 4: Simplify right side
    652,314.80x = 546,968,699,522.16
  5. Step 5: Solve for x
    x = 546,968,699,522.16/652,314.80
  6. Step 6: Final answer
    x = 838,504.20

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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.