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Finding the Fourth Proportional to 602,357.76, 831,271.68 and 334,080

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Solution

The fourth proportional to 602,357.76, 831,271.68 and 334,080 is: 461,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,357.76 : 831,271.68 = 334,080 : x
  2. Step 2: Convert to fraction form
    602,357.76/831,271.68 = 334,080/x
  3. Step 3: Cross multiply
    602,357.76x = 831,271.68 × 334,080
  4. Step 4: Simplify right side
    602,357.76x = 277,711,242,854.40
  5. Step 5: Solve for x
    x = 277,711,242,854.40/602,357.76
  6. Step 6: Final answer
    x = 461,040.37

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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.