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Finding the Fourth Proportional to 460,348.46, 635,298.55 and 266,762.74

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Solution

The fourth proportional to 460,348.46, 635,298.55 and 266,762.74 is: 368,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,348.46 : 635,298.55 = 266,762.74 : x
  2. Step 2: Convert to fraction form
    460,348.46/635,298.55 = 266,762.74/x
  3. Step 3: Cross multiply
    460,348.46x = 635,298.55 × 266,762.74
  4. Step 4: Simplify right side
    460,348.46x = 169,473,984,514.51
  5. Step 5: Solve for x
    x = 169,473,984,514.51/460,348.46
  6. Step 6: Final answer
    x = 368,142.83

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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.