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Finding the Fourth Proportional to 299,590.74, 413,437.98 and 170,522.88

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Solution

The fourth proportional to 299,590.74, 413,437.98 and 170,522.88 is: 235,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,590.74 : 413,437.98 = 170,522.88 : x
  2. Step 2: Convert to fraction form
    299,590.74/413,437.98 = 170,522.88/x
  3. Step 3: Cross multiply
    299,590.74x = 413,437.98 × 170,522.88
  4. Step 4: Simplify right side
    299,590.74x = 70,500,635,050.98
  5. Step 5: Solve for x
    x = 70,500,635,050.98/299,590.74
  6. Step 6: Final answer
    x = 235,323.14

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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.