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Finding the Fourth Proportional to 623,460, 935,345.52 and 180,228

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Solution

The fourth proportional to 623,460, 935,345.52 and 180,228 is: 270,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,460 : 935,345.52 = 180,228 : x
  2. Step 2: Convert to fraction form
    623,460/935,345.52 = 180,228/x
  3. Step 3: Cross multiply
    623,460x = 935,345.52 × 180,228
  4. Step 4: Simplify right side
    623,460x = 168,575,452,378.56
  5. Step 5: Solve for x
    x = 168,575,452,378.56/623,460
  6. Step 6: Final answer
    x = 270,386.96

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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.