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Finding the Fourth Proportional to 617,422.80, 924,751.80 and 506,830.80

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Solution

The fourth proportional to 617,422.80, 924,751.80 and 506,830.80 is: 759,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,422.80 : 924,751.80 = 506,830.80 : x
  2. Step 2: Convert to fraction form
    617,422.80/924,751.80 = 506,830.80/x
  3. Step 3: Cross multiply
    617,422.80x = 924,751.80 × 506,830.80
  4. Step 4: Simplify right side
    617,422.80x = 468,692,694,595.44
  5. Step 5: Solve for x
    x = 468,692,694,595.44/617,422.80
  6. Step 6: Final answer
    x = 759,111.41

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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.