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Finding the Fourth Proportional to 473,191.95, 652,980.19 and 258,290.50

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Solution

The fourth proportional to 473,191.95, 652,980.19 and 258,290.50 is: 356,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,191.95 : 652,980.19 = 258,290.50 : x
  2. Step 2: Convert to fraction form
    473,191.95/652,980.19 = 258,290.50/x
  3. Step 3: Cross multiply
    473,191.95x = 652,980.19 × 258,290.50
  4. Step 4: Simplify right side
    473,191.95x = 168,658,579,765.20
  5. Step 5: Solve for x
    x = 168,658,579,765.20/473,191.95
  6. Step 6: Final answer
    x = 356,427.41

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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.