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Finding the Fourth Proportional to 459,513.52, 634,123.02 and 258,309.52

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Solution

The fourth proportional to 459,513.52, 634,123.02 and 258,309.52 is: 356,463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,513.52 : 634,123.02 = 258,309.52 : x
  2. Step 2: Convert to fraction form
    459,513.52/634,123.02 = 258,309.52/x
  3. Step 3: Cross multiply
    459,513.52x = 634,123.02 × 258,309.52
  4. Step 4: Simplify right side
    459,513.52x = 163,800,012,917.15
  5. Step 5: Solve for x
    x = 163,800,012,917.15/459,513.52
  6. Step 6: Final answer
    x = 356,463.97

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1.5x scale

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.