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Finding the Fourth Proportional to 459,751.14, 634,459.74 and 255,810.63

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Solution

The fourth proportional to 459,751.14, 634,459.74 and 255,810.63 is: 353,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,751.14 : 634,459.74 = 255,810.63 : x
  2. Step 2: Convert to fraction form
    459,751.14/634,459.74 = 255,810.63/x
  3. Step 3: Cross multiply
    459,751.14x = 634,459.74 × 255,810.63
  4. Step 4: Simplify right side
    459,751.14x = 162,301,545,799.04
  5. Step 5: Solve for x
    x = 162,301,545,799.04/459,751.14
  6. Step 6: Final answer
    x = 353,020.43

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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.