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Finding the Fourth Proportional to 308,001.60, 462,002.40 and 275,342.40

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Solution

The fourth proportional to 308,001.60, 462,002.40 and 275,342.40 is: 413,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,001.60 : 462,002.40 = 275,342.40 : x
  2. Step 2: Convert to fraction form
    308,001.60/462,002.40 = 275,342.40/x
  3. Step 3: Cross multiply
    308,001.60x = 462,002.40 × 275,342.40
  4. Step 4: Simplify right side
    308,001.60x = 127,208,849,621.76
  5. Step 5: Solve for x
    x = 127,208,849,621.76/308,001.60
  6. Step 6: Final answer
    x = 413,013.60

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1.5x scale

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.