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Finding the Fourth Proportional to 602,856, 831,980.16 and 334,584

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Solution

The fourth proportional to 602,856, 831,980.16 and 334,584 is: 461,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,856 : 831,980.16 = 334,584 : x
  2. Step 2: Convert to fraction form
    602,856/831,980.16 = 334,584/x
  3. Step 3: Cross multiply
    602,856x = 831,980.16 × 334,584
  4. Step 4: Simplify right side
    602,856x = 278,367,249,853.44
  5. Step 5: Solve for x
    x = 278,367,249,853.44/602,856
  6. Step 6: Final answer
    x = 461,747.50

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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.