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Finding the Fourth Proportional to 334,718.68, 502,078.20 and 210,147.16

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Solution

The fourth proportional to 334,718.68, 502,078.20 and 210,147.16 is: 315,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,718.68 : 502,078.20 = 210,147.16 : x
  2. Step 2: Convert to fraction form
    334,718.68/502,078.20 = 210,147.16/x
  3. Step 3: Cross multiply
    334,718.68x = 502,078.20 × 210,147.16
  4. Step 4: Simplify right side
    334,718.68x = 105,510,307,827.91
  5. Step 5: Solve for x
    x = 105,510,307,827.91/334,718.68
  6. Step 6: Final answer
    x = 315,220.85

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