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Finding the Fourth Proportional to 432,016.50, 596,292.12 and 257,774.16

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Solution

The fourth proportional to 432,016.50, 596,292.12 and 257,774.16 is: 355,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,016.50 : 596,292.12 = 257,774.16 : x
  2. Step 2: Convert to fraction form
    432,016.50/596,292.12 = 257,774.16/x
  3. Step 3: Cross multiply
    432,016.50x = 596,292.12 × 257,774.16
  4. Step 4: Simplify right side
    432,016.50x = 153,708,700,347.62
  5. Step 5: Solve for x
    x = 153,708,700,347.62/432,016.50
  6. Step 6: Final answer
    x = 355,793.59

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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.