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Finding the Fourth Proportional to 477,088.58, 715,720.35 and 196,452.74

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Solution

The fourth proportional to 477,088.58, 715,720.35 and 196,452.74 is: 294,715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,088.58 : 715,720.35 = 196,452.74 : x
  2. Step 2: Convert to fraction form
    477,088.58/715,720.35 = 196,452.74/x
  3. Step 3: Cross multiply
    477,088.58x = 715,720.35 × 196,452.74
  4. Step 4: Simplify right side
    477,088.58x = 140,605,223,831.26
  5. Step 5: Solve for x
    x = 140,605,223,831.26/477,088.58
  6. Step 6: Final answer
    x = 294,715.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.