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Finding the Fourth Proportional to 459,948.70, 634,728.27 and 258,744.70

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Solution

The fourth proportional to 459,948.70, 634,728.27 and 258,744.70 is: 357,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,948.70 : 634,728.27 = 258,744.70 : x
  2. Step 2: Convert to fraction form
    459,948.70/634,728.27 = 258,744.70/x
  3. Step 3: Cross multiply
    459,948.70x = 634,728.27 × 258,744.70
  4. Step 4: Simplify right side
    459,948.70x = 164,232,575,802.67
  5. Step 5: Solve for x
    x = 164,232,575,802.67/459,948.70
  6. Step 6: Final answer
    x = 357,067.16

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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.