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Finding the Fourth Proportional to 518,413, 777,619.50 and 124,429

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Solution

The fourth proportional to 518,413, 777,619.50 and 124,429 is: 186,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,413 : 777,619.50 = 124,429 : x
  2. Step 2: Convert to fraction form
    518,413/777,619.50 = 124,429/x
  3. Step 3: Cross multiply
    518,413x = 777,619.50 × 124,429
  4. Step 4: Simplify right side
    518,413x = 96,758,416,765.50
  5. Step 5: Solve for x
    x = 96,758,416,765.50/518,413
  6. Step 6: Final answer
    x = 186,643.50

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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.