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Finding the Fourth Proportional to 426,257.60, 640,941.60 and 357,828.80

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Solution

The fourth proportional to 426,257.60, 640,941.60 and 357,828.80 is: 538,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,257.60 : 640,941.60 = 357,828.80 : x
  2. Step 2: Convert to fraction form
    426,257.60/640,941.60 = 357,828.80/x
  3. Step 3: Cross multiply
    426,257.60x = 640,941.60 × 357,828.80
  4. Step 4: Simplify right side
    426,257.60x = 229,347,363,598.08
  5. Step 5: Solve for x
    x = 229,347,363,598.08/426,257.60
  6. Step 6: Final answer
    x = 538,048.74

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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.