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Finding the Fourth Proportional to 602,280.35, 830,832.01 and 357,122.42

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Solution

The fourth proportional to 602,280.35, 830,832.01 and 357,122.42 is: 492,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,280.35 : 830,832.01 = 357,122.42 : x
  2. Step 2: Convert to fraction form
    602,280.35/830,832.01 = 357,122.42/x
  3. Step 3: Cross multiply
    602,280.35x = 830,832.01 × 357,122.42
  4. Step 4: Simplify right side
    602,280.35x = 296,708,738,024.66
  5. Step 5: Solve for x
    x = 296,708,738,024.66/602,280.35
  6. Step 6: Final answer
    x = 492,642.24

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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.