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Finding the Fourth Proportional to 359,731.96, 496,430.84 and 198,587.22

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Solution

The fourth proportional to 359,731.96, 496,430.84 and 198,587.22 is: 274,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,731.96 : 496,430.84 = 198,587.22 : x
  2. Step 2: Convert to fraction form
    359,731.96/496,430.84 = 198,587.22/x
  3. Step 3: Cross multiply
    359,731.96x = 496,430.84 × 198,587.22
  4. Step 4: Simplify right side
    359,731.96x = 98,584,820,437.86
  5. Step 5: Solve for x
    x = 98,584,820,437.86/359,731.96
  6. Step 6: Final answer
    x = 274,050.77

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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.