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Finding the Fourth Proportional to 402,912.30, 604,368.45 and 166,176.30

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Solution

The fourth proportional to 402,912.30, 604,368.45 and 166,176.30 is: 249,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,912.30 : 604,368.45 = 166,176.30 : x
  2. Step 2: Convert to fraction form
    402,912.30/604,368.45 = 166,176.30/x
  3. Step 3: Cross multiply
    402,912.30x = 604,368.45 × 166,176.30
  4. Step 4: Simplify right side
    402,912.30x = 100,431,712,857.74
  5. Step 5: Solve for x
    x = 100,431,712,857.74/402,912.30
  6. Step 6: Final answer
    x = 249,264.45

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1.5x scale

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.