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Finding the Fourth Proportional to 459,930.75, 634,714.16 and 258,726.75

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Solution

The fourth proportional to 459,930.75, 634,714.16 and 258,726.75 is: 357,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,930.75 : 634,714.16 = 258,726.75 : x
  2. Step 2: Convert to fraction form
    459,930.75/634,714.16 = 258,726.75/x
  3. Step 3: Cross multiply
    459,930.75x = 634,714.16 × 258,726.75
  4. Step 4: Simplify right side
    459,930.75x = 164,217,531,795.78
  5. Step 5: Solve for x
    x = 164,217,531,795.78/459,930.75
  6. Step 6: Final answer
    x = 357,048.39

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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.