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Finding the Fourth Proportional to 314,715.42, 472,140.41 and 101,495.48

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Solution

The fourth proportional to 314,715.42, 472,140.41 and 101,495.48 is: 152,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,715.42 : 472,140.41 = 101,495.48 : x
  2. Step 2: Convert to fraction form
    314,715.42/472,140.41 = 101,495.48/x
  3. Step 3: Cross multiply
    314,715.42x = 472,140.41 × 101,495.48
  4. Step 4: Simplify right side
    314,715.42x = 47,920,114,672.17
  5. Step 5: Solve for x
    x = 47,920,114,672.17/314,715.42
  6. Step 6: Final answer
    x = 152,264.91

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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.