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Finding the Fourth Proportional to 459,864.48, 634,606.48 and 258,660

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Solution

The fourth proportional to 459,864.48, 634,606.48 and 258,660 is: 356,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,864.48 : 634,606.48 = 258,660 : x
  2. Step 2: Convert to fraction form
    459,864.48/634,606.48 = 258,660/x
  3. Step 3: Cross multiply
    459,864.48x = 634,606.48 × 258,660
  4. Step 4: Simplify right side
    459,864.48x = 164,147,312,116.80
  5. Step 5: Solve for x
    x = 164,147,312,116.80/459,864.48
  6. Step 6: Final answer
    x = 356,947.14

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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.