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Finding the Fourth Proportional to 360,392.48, 497,352 and 199,257.93

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Solution

The fourth proportional to 360,392.48, 497,352 and 199,257.93 is: 274,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,392.48 : 497,352 = 199,257.93 : x
  2. Step 2: Convert to fraction form
    360,392.48/497,352 = 199,257.93/x
  3. Step 3: Cross multiply
    360,392.48x = 497,352 × 199,257.93
  4. Step 4: Simplify right side
    360,392.48x = 99,101,330,001.36
  5. Step 5: Solve for x
    x = 99,101,330,001.36/360,392.48
  6. Step 6: Final answer
    x = 274,981.68

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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.