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Finding the Fourth Proportional to 315,219.84, 473,081.72 and 163,460.04

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Solution

The fourth proportional to 315,219.84, 473,081.72 and 163,460.04 is: 245,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,219.84 : 473,081.72 = 163,460.04 : x
  2. Step 2: Convert to fraction form
    315,219.84/473,081.72 = 163,460.04/x
  3. Step 3: Cross multiply
    315,219.84x = 473,081.72 × 163,460.04
  4. Step 4: Simplify right side
    315,219.84x = 77,329,956,874.47
  5. Step 5: Solve for x
    x = 77,329,956,874.47/315,219.84
  6. Step 6: Final answer
    x = 245,320.72

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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.