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Finding the Fourth Proportional to 296,417.44, 444,598.32 and 83,205.28

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Solution

The fourth proportional to 296,417.44, 444,598.32 and 83,205.28 is: 124,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,417.44 : 444,598.32 = 83,205.28 : x
  2. Step 2: Convert to fraction form
    296,417.44/444,598.32 = 83,205.28/x
  3. Step 3: Cross multiply
    296,417.44x = 444,598.32 × 83,205.28
  4. Step 4: Simplify right side
    296,417.44x = 36,992,927,703.13
  5. Step 5: Solve for x
    x = 36,992,927,703.13/296,417.44
  6. Step 6: Final answer
    x = 124,800.11

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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.