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Finding the Fourth Proportional to 314,971, 472,456.50 and 93,355

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Solution

The fourth proportional to 314,971, 472,456.50 and 93,355 is: 140,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,971 : 472,456.50 = 93,355 : x
  2. Step 2: Convert to fraction form
    314,971/472,456.50 = 93,355/x
  3. Step 3: Cross multiply
    314,971x = 472,456.50 × 93,355
  4. Step 4: Simplify right side
    314,971x = 44,106,176,557.50
  5. Step 5: Solve for x
    x = 44,106,176,557.50/314,971
  6. Step 6: Final answer
    x = 140,032.50

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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.