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Finding the Fourth Proportional to 501,500.52, 691,478.16 and 410,521.32

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Solution

The fourth proportional to 501,500.52, 691,478.16 and 410,521.32 is: 566,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,500.52 : 691,478.16 = 410,521.32 : x
  2. Step 2: Convert to fraction form
    501,500.52/691,478.16 = 410,521.32/x
  3. Step 3: Cross multiply
    501,500.52x = 691,478.16 × 410,521.32
  4. Step 4: Simplify right side
    501,500.52x = 283,866,526,994.37
  5. Step 5: Solve for x
    x = 283,866,526,994.37/501,500.52
  6. Step 6: Final answer
    x = 566,034.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.