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Finding the Fourth Proportional to 311,041.16, 466,582.74 and 105,792.24

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Solution

The fourth proportional to 311,041.16, 466,582.74 and 105,792.24 is: 158,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,041.16 : 466,582.74 = 105,792.24 : x
  2. Step 2: Convert to fraction form
    311,041.16/466,582.74 = 105,792.24/x
  3. Step 3: Cross multiply
    311,041.16x = 466,582.74 × 105,792.24
  4. Step 4: Simplify right side
    311,041.16x = 49,360,833,209.94
  5. Step 5: Solve for x
    x = 49,360,833,209.94/311,041.16
  6. Step 6: Final answer
    x = 158,695.50

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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.