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Finding the Fourth Proportional to 319,215.80, 478,823.70 and 207,241.40

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Solution

The fourth proportional to 319,215.80, 478,823.70 and 207,241.40 is: 310,862.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,215.80 : 478,823.70 = 207,241.40 : x
  2. Step 2: Convert to fraction form
    319,215.80/478,823.70 = 207,241.40/x
  3. Step 3: Cross multiply
    319,215.80x = 478,823.70 × 207,241.40
  4. Step 4: Simplify right side
    319,215.80x = 99,232,093,941.18
  5. Step 5: Solve for x
    x = 99,232,093,941.18/319,215.80
  6. Step 6: Final answer
    x = 310,862.10

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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.