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Finding the Fourth Proportional to 426,854.20, 640,281.30 and 402,359.80

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Solution

The fourth proportional to 426,854.20, 640,281.30 and 402,359.80 is: 603,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,854.20 : 640,281.30 = 402,359.80 : x
  2. Step 2: Convert to fraction form
    426,854.20/640,281.30 = 402,359.80/x
  3. Step 3: Cross multiply
    426,854.20x = 640,281.30 × 402,359.80
  4. Step 4: Simplify right side
    426,854.20x = 257,623,455,811.74
  5. Step 5: Solve for x
    x = 257,623,455,811.74/426,854.20
  6. Step 6: Final answer
    x = 603,539.70

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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.