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Finding the Fourth Proportional to 314,966.40, 472,497.16 and 101,663

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Solution

The fourth proportional to 314,966.40, 472,497.16 and 101,663 is: 152,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,966.40 : 472,497.16 = 101,663 : x
  2. Step 2: Convert to fraction form
    314,966.40/472,497.16 = 101,663/x
  3. Step 3: Cross multiply
    314,966.40x = 472,497.16 × 101,663
  4. Step 4: Simplify right side
    314,966.40x = 48,035,478,777.08
  5. Step 5: Solve for x
    x = 48,035,478,777.08/314,966.40
  6. Step 6: Final answer
    x = 152,509.85

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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.