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Finding the Fourth Proportional to 467,821.60, 700,695.60 and 362,298.40

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Solution

The fourth proportional to 467,821.60, 700,695.60 and 362,298.40 is: 542,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,821.60 : 700,695.60 = 362,298.40 : x
  2. Step 2: Convert to fraction form
    467,821.60/700,695.60 = 362,298.40/x
  3. Step 3: Cross multiply
    467,821.60x = 700,695.60 × 362,298.40
  4. Step 4: Simplify right side
    467,821.60x = 253,860,894,767.04
  5. Step 5: Solve for x
    x = 253,860,894,767.04/467,821.60
  6. Step 6: Final answer
    x = 542,644.66

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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.