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Finding the Fourth Proportional to 477,442, 716,163.18 and 122,456.02

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Solution

The fourth proportional to 477,442, 716,163.18 and 122,456.02 is: 183,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,442 : 716,163.18 = 122,456.02 : x
  2. Step 2: Convert to fraction form
    477,442/716,163.18 = 122,456.02/x
  3. Step 3: Cross multiply
    477,442x = 716,163.18 × 122,456.02
  4. Step 4: Simplify right side
    477,442x = 87,698,492,693.34
  5. Step 5: Solve for x
    x = 87,698,492,693.34/477,442
  6. Step 6: Final answer
    x = 183,684.08

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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.