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Finding the Fourth Proportional to 523,347.90, 722,178.99 and 296,993.34

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Solution

The fourth proportional to 523,347.90, 722,178.99 and 296,993.34 is: 409,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,347.90 : 722,178.99 = 296,993.34 : x
  2. Step 2: Convert to fraction form
    523,347.90/722,178.99 = 296,993.34/x
  3. Step 3: Cross multiply
    523,347.90x = 722,178.99 × 296,993.34
  4. Step 4: Simplify right side
    523,347.90x = 214,482,350,317.93
  5. Step 5: Solve for x
    x = 214,482,350,317.93/523,347.90
  6. Step 6: Final answer
    x = 409,827.48

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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.