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Finding the Fourth Proportional to 508,098.09, 701,124.83 and 293,307.35

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Solution

The fourth proportional to 508,098.09, 701,124.83 and 293,307.35 is: 404,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,098.09 : 701,124.83 = 293,307.35 : x
  2. Step 2: Convert to fraction form
    508,098.09/701,124.83 = 293,307.35/x
  3. Step 3: Cross multiply
    508,098.09x = 701,124.83 × 293,307.35
  4. Step 4: Simplify right side
    508,098.09x = 205,645,060,934.34
  5. Step 5: Solve for x
    x = 205,645,060,934.34/508,098.09
  6. Step 6: Final answer
    x = 404,734.96

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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.