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Finding the Fourth Proportional to 314,792, 472,280.48 and 93,181.76

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Solution

The fourth proportional to 314,792, 472,280.48 and 93,181.76 is: 139,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,792 : 472,280.48 = 93,181.76 : x
  2. Step 2: Convert to fraction form
    314,792/472,280.48 = 93,181.76/x
  3. Step 3: Cross multiply
    314,792x = 472,280.48 × 93,181.76
  4. Step 4: Simplify right side
    314,792x = 44,007,926,340.04
  5. Step 5: Solve for x
    x = 44,007,926,340.04/314,792
  6. Step 6: Final answer
    x = 139,800.02

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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.