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Finding the Fourth Proportional to 402,215.20, 603,322.80 and 260,497.60

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Solution

The fourth proportional to 402,215.20, 603,322.80 and 260,497.60 is: 390,746.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,215.20 : 603,322.80 = 260,497.60 : x
  2. Step 2: Convert to fraction form
    402,215.20/603,322.80 = 260,497.60/x
  3. Step 3: Cross multiply
    402,215.20x = 603,322.80 × 260,497.60
  4. Step 4: Simplify right side
    402,215.20x = 157,164,141,425.28
  5. Step 5: Solve for x
    x = 157,164,141,425.28/402,215.20
  6. Step 6: Final answer
    x = 390,746.40

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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.