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Finding the Fourth Proportional to 552,009.60, 827,431.20 and 314,841.60

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Solution

The fourth proportional to 552,009.60, 827,431.20 and 314,841.60 is: 471,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,009.60 : 827,431.20 = 314,841.60 : x
  2. Step 2: Convert to fraction form
    552,009.60/827,431.20 = 314,841.60/x
  3. Step 3: Cross multiply
    552,009.60x = 827,431.20 × 314,841.60
  4. Step 4: Simplify right side
    552,009.60x = 260,509,762,897.92
  5. Step 5: Solve for x
    x = 260,509,762,897.92/552,009.60
  6. Step 6: Final answer
    x = 471,929.77

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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.