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Finding the Fourth Proportional to 601,986.42, 830,775.18 and 357,116.14

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Solution

The fourth proportional to 601,986.42, 830,775.18 and 357,116.14 is: 492,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,986.42 : 830,775.18 = 357,116.14 : x
  2. Step 2: Convert to fraction form
    601,986.42/830,775.18 = 357,116.14/x
  3. Step 3: Cross multiply
    601,986.42x = 830,775.18 × 357,116.14
  4. Step 4: Simplify right side
    601,986.42x = 296,683,225,489.41
  5. Step 5: Solve for x
    x = 296,683,225,489.41/601,986.42
  6. Step 6: Final answer
    x = 492,840.40

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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.