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Finding the Fourth Proportional to 462,955.10, 638,852.16 and 258,966.63

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Solution

The fourth proportional to 462,955.10, 638,852.16 and 258,966.63 is: 357,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,955.10 : 638,852.16 = 258,966.63 : x
  2. Step 2: Convert to fraction form
    462,955.10/638,852.16 = 258,966.63/x
  3. Step 3: Cross multiply
    462,955.10x = 638,852.16 × 258,966.63
  4. Step 4: Simplify right side
    462,955.10x = 165,441,391,914.55
  5. Step 5: Solve for x
    x = 165,441,391,914.55/462,955.10
  6. Step 6: Final answer
    x = 357,359.48

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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.