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Finding the Fourth Proportional to 552,703.20, 829,929.60 and 419,733.60

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Solution

The fourth proportional to 552,703.20, 829,929.60 and 419,733.60 is: 630,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,703.20 : 829,929.60 = 419,733.60 : x
  2. Step 2: Convert to fraction form
    552,703.20/829,929.60 = 419,733.60/x
  3. Step 3: Cross multiply
    552,703.20x = 829,929.60 × 419,733.60
  4. Step 4: Simplify right side
    552,703.20x = 348,349,338,754.56
  5. Step 5: Solve for x
    x = 348,349,338,754.56/552,703.20
  6. Step 6: Final answer
    x = 630,264.74

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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.