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Finding the Fourth Proportional to 462,245.79, 637,886.96 and 258,298.40

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Solution

The fourth proportional to 462,245.79, 637,886.96 and 258,298.40 is: 356,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,245.79 : 637,886.96 = 258,298.40 : x
  2. Step 2: Convert to fraction form
    462,245.79/637,886.96 = 258,298.40/x
  3. Step 3: Cross multiply
    462,245.79x = 637,886.96 × 258,298.40
  4. Step 4: Simplify right side
    462,245.79x = 164,765,176,667.94
  5. Step 5: Solve for x
    x = 164,765,176,667.94/462,245.79
  6. Step 6: Final answer
    x = 356,444.95

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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.