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Finding the Fourth Proportional to 473,190.95, 652,978.81 and 258,289.50

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Solution

The fourth proportional to 473,190.95, 652,978.81 and 258,289.50 is: 356,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,190.95 : 652,978.81 = 258,289.50 : x
  2. Step 2: Convert to fraction form
    473,190.95/652,978.81 = 258,289.50/x
  3. Step 3: Cross multiply
    473,190.95x = 652,978.81 × 258,289.50
  4. Step 4: Simplify right side
    473,190.95x = 168,657,567,080.60
  5. Step 5: Solve for x
    x = 168,657,567,080.60/473,190.95
  6. Step 6: Final answer
    x = 356,426.02

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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.