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Finding the Fourth Proportional to 314,981.84, 472,205.16 and 146,599.96

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Solution

The fourth proportional to 314,981.84, 472,205.16 and 146,599.96 is: 219,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,981.84 : 472,205.16 = 146,599.96 : x
  2. Step 2: Convert to fraction form
    314,981.84/472,205.16 = 146,599.96/x
  3. Step 3: Cross multiply
    314,981.84x = 472,205.16 × 146,599.96
  4. Step 4: Simplify right side
    314,981.84x = 69,225,257,567.79
  5. Step 5: Solve for x
    x = 69,225,257,567.79/314,981.84
  6. Step 6: Final answer
    x = 219,775.39

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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.