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Finding the Fourth Proportional to 432,560.49, 592,597.98 and 416,388.06

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Solution

The fourth proportional to 432,560.49, 592,597.98 and 416,388.06 is: 570,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,560.49 : 592,597.98 = 416,388.06 : x
  2. Step 2: Convert to fraction form
    432,560.49/592,597.98 = 416,388.06/x
  3. Step 3: Cross multiply
    432,560.49x = 592,597.98 × 416,388.06
  4. Step 4: Simplify right side
    432,560.49x = 246,750,723,252.12
  5. Step 5: Solve for x
    x = 246,750,723,252.12/432,560.49
  6. Step 6: Final answer
    x = 570,442.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.