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Finding the Fourth Proportional to 398,593.86, 597,788.64 and 118,045.50

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Solution

The fourth proportional to 398,593.86, 597,788.64 and 118,045.50 is: 177,038.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,593.86 : 597,788.64 = 118,045.50 : x
  2. Step 2: Convert to fraction form
    398,593.86/597,788.64 = 118,045.50/x
  3. Step 3: Cross multiply
    398,593.86x = 597,788.64 × 118,045.50
  4. Step 4: Simplify right side
    398,593.86x = 70,566,258,903.12
  5. Step 5: Solve for x
    x = 70,566,258,903.12/398,593.86
  6. Step 6: Final answer
    x = 177,038.00

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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.