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Finding the Fourth Proportional to 462,294.26, 637,966.94 and 258,345.18

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Solution

The fourth proportional to 462,294.26, 637,966.94 and 258,345.18 is: 356,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,294.26 : 637,966.94 = 258,345.18 : x
  2. Step 2: Convert to fraction form
    462,294.26/637,966.94 = 258,345.18/x
  3. Step 3: Cross multiply
    462,294.26x = 637,966.94 × 258,345.18
  4. Step 4: Simplify right side
    462,294.26x = 164,815,683,948.35
  5. Step 5: Solve for x
    x = 164,815,683,948.35/462,294.26
  6. Step 6: Final answer
    x = 356,516.83

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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.