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Finding the Fourth Proportional to 601,983.42, 830,771.06 and 357,113.16

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Solution

The fourth proportional to 601,983.42, 830,771.06 and 357,113.16 is: 492,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,983.42 : 830,771.06 = 357,113.16 : x
  2. Step 2: Convert to fraction form
    601,983.42/830,771.06 = 357,113.16/x
  3. Step 3: Cross multiply
    601,983.42x = 830,771.06 × 357,113.16
  4. Step 4: Simplify right side
    601,983.42x = 296,679,278,473.15
  5. Step 5: Solve for x
    x = 296,679,278,473.15/601,983.42
  6. Step 6: Final answer
    x = 492,836.30

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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.