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Finding the Fourth Proportional to 584,657.40, 877,642.20 and 452,125.20

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Solution

The fourth proportional to 584,657.40, 877,642.20 and 452,125.20 is: 678,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,657.40 : 877,642.20 = 452,125.20 : x
  2. Step 2: Convert to fraction form
    584,657.40/877,642.20 = 452,125.20/x
  3. Step 3: Cross multiply
    584,657.40x = 877,642.20 × 452,125.20
  4. Step 4: Simplify right side
    584,657.40x = 396,804,155,203.44
  5. Step 5: Solve for x
    x = 396,804,155,203.44/584,657.40
  6. Step 6: Final answer
    x = 678,695.17

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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.