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Finding the Fourth Proportional to 298,089.47, 411,187.95 and 187,531.97

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Solution

The fourth proportional to 298,089.47, 411,187.95 and 187,531.97 is: 258,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,089.47 : 411,187.95 = 187,531.97 : x
  2. Step 2: Convert to fraction form
    298,089.47/411,187.95 = 187,531.97/x
  3. Step 3: Cross multiply
    298,089.47x = 411,187.95 × 187,531.97
  4. Step 4: Simplify right side
    298,089.47x = 77,110,886,303.76
  5. Step 5: Solve for x
    x = 77,110,886,303.76/298,089.47
  6. Step 6: Final answer
    x = 258,683.70

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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.