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Finding the Fourth Proportional to 650,454.54, 974,970.06 and 334,930.38

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Solution

The fourth proportional to 650,454.54, 974,970.06 and 334,930.38 is: 502,029.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,454.54 : 974,970.06 = 334,930.38 : x
  2. Step 2: Convert to fraction form
    650,454.54/974,970.06 = 334,930.38/x
  3. Step 3: Cross multiply
    650,454.54x = 974,970.06 × 334,930.38
  4. Step 4: Simplify right side
    650,454.54x = 326,547,092,684.42
  5. Step 5: Solve for x
    x = 326,547,092,684.42/650,454.54
  6. Step 6: Final answer
    x = 502,029.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.