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Finding the Fourth Proportional to 522,024.40, 783,036.60 and 148,047.40

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Solution

The fourth proportional to 522,024.40, 783,036.60 and 148,047.40 is: 222,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,024.40 : 783,036.60 = 148,047.40 : x
  2. Step 2: Convert to fraction form
    522,024.40/783,036.60 = 148,047.40/x
  3. Step 3: Cross multiply
    522,024.40x = 783,036.60 × 148,047.40
  4. Step 4: Simplify right side
    522,024.40x = 115,926,532,734.84
  5. Step 5: Solve for x
    x = 115,926,532,734.84/522,024.40
  6. Step 6: Final answer
    x = 222,071.10

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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.