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Finding the Fourth Proportional to 476,293.59, 657,261.13 and 282,709.74

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Solution

The fourth proportional to 476,293.59, 657,261.13 and 282,709.74 is: 390,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,293.59 : 657,261.13 = 282,709.74 : x
  2. Step 2: Convert to fraction form
    476,293.59/657,261.13 = 282,709.74/x
  3. Step 3: Cross multiply
    476,293.59x = 657,261.13 × 282,709.74
  4. Step 4: Simplify right side
    476,293.59x = 185,814,125,524.33
  5. Step 5: Solve for x
    x = 185,814,125,524.33/476,293.59
  6. Step 6: Final answer
    x = 390,125.19

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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.