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Finding the Fourth Proportional to 314,165.74, 433,553.16 and 170,925.90

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Solution

The fourth proportional to 314,165.74, 433,553.16 and 170,925.90 is: 235,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,165.74 : 433,553.16 = 170,925.90 : x
  2. Step 2: Convert to fraction form
    314,165.74/433,553.16 = 170,925.90/x
  3. Step 3: Cross multiply
    314,165.74x = 433,553.16 × 170,925.90
  4. Step 4: Simplify right side
    314,165.74x = 74,105,462,124.53
  5. Step 5: Solve for x
    x = 74,105,462,124.53/314,165.74
  6. Step 6: Final answer
    x = 235,880.15

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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.