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Finding the Fourth Proportional to 497,157.84, 686,074.32 and 270,803.34

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Solution

The fourth proportional to 497,157.84, 686,074.32 and 270,803.34 is: 373,706.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,157.84 : 686,074.32 = 270,803.34 : x
  2. Step 2: Convert to fraction form
    497,157.84/686,074.32 = 270,803.34/x
  3. Step 3: Cross multiply
    497,157.84x = 686,074.32 × 270,803.34
  4. Step 4: Simplify right side
    497,157.84x = 185,791,217,344.23
  5. Step 5: Solve for x
    x = 185,791,217,344.23/497,157.84
  6. Step 6: Final answer
    x = 373,706.70

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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.