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Finding the Fourth Proportional to 462,308.47, 637,988.05 and 258,362.80

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Solution

The fourth proportional to 462,308.47, 637,988.05 and 258,362.80 is: 356,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,308.47 : 637,988.05 = 258,362.80 : x
  2. Step 2: Convert to fraction form
    462,308.47/637,988.05 = 258,362.80/x
  3. Step 3: Cross multiply
    462,308.47x = 637,988.05 × 258,362.80
  4. Step 4: Simplify right side
    462,308.47x = 164,832,378,930.75
  5. Step 5: Solve for x
    x = 164,832,378,930.75/462,308.47
  6. Step 6: Final answer
    x = 356,541.98

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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.