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Finding the Fourth Proportional to 314,411.49, 433,897.16 and 178,442.46

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Solution

The fourth proportional to 314,411.49, 433,897.16 and 178,442.46 is: 246,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,411.49 : 433,897.16 = 178,442.46 : x
  2. Step 2: Convert to fraction form
    314,411.49/433,897.16 = 178,442.46/x
  3. Step 3: Cross multiply
    314,411.49x = 433,897.16 × 178,442.46
  4. Step 4: Simplify right side
    314,411.49x = 77,425,675,725.20
  5. Step 5: Solve for x
    x = 77,425,675,725.20/314,411.49
  6. Step 6: Final answer
    x = 246,255.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.