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Finding the Fourth Proportional to 477,088.26, 658,386.82 and 259,296.90

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Solution

The fourth proportional to 477,088.26, 658,386.82 and 259,296.90 is: 357,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,088.26 : 658,386.82 = 259,296.90 : x
  2. Step 2: Convert to fraction form
    477,088.26/658,386.82 = 259,296.90/x
  3. Step 3: Cross multiply
    477,088.26x = 658,386.82 × 259,296.90
  4. Step 4: Simplify right side
    477,088.26x = 170,717,661,426.86
  5. Step 5: Solve for x
    x = 170,717,661,426.86/477,088.26
  6. Step 6: Final answer
    x = 357,832.45

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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.