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Finding the Fourth Proportional to 460,206.72, 635,068.08 and 256,264.92

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Solution

The fourth proportional to 460,206.72, 635,068.08 and 256,264.92 is: 353,636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,206.72 : 635,068.08 = 256,264.92 : x
  2. Step 2: Convert to fraction form
    460,206.72/635,068.08 = 256,264.92/x
  3. Step 3: Cross multiply
    460,206.72x = 635,068.08 × 256,264.92
  4. Step 4: Simplify right side
    460,206.72x = 162,745,670,715.75
  5. Step 5: Solve for x
    x = 162,745,670,715.75/460,206.72
  6. Step 6: Final answer
    x = 353,636.02

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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.