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Finding the Fourth Proportional to 407,176.95, 610,570.98 and 238,748.57

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Solution

The fourth proportional to 407,176.95, 610,570.98 and 238,748.57 is: 358,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,176.95 : 610,570.98 = 238,748.57 : x
  2. Step 2: Convert to fraction form
    407,176.95/610,570.98 = 238,748.57/x
  3. Step 3: Cross multiply
    407,176.95x = 610,570.98 × 238,748.57
  4. Step 4: Simplify right side
    407,176.95x = 145,772,945,305.64
  5. Step 5: Solve for x
    x = 145,772,945,305.64/407,176.95
  6. Step 6: Final answer
    x = 358,008.83

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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.