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Finding the Fourth Proportional to 459,563.90, 689,907.45 and 260,023.10

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Solution

The fourth proportional to 459,563.90, 689,907.45 and 260,023.10 is: 390,352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,563.90 : 689,907.45 = 260,023.10 : x
  2. Step 2: Convert to fraction form
    459,563.90/689,907.45 = 260,023.10/x
  3. Step 3: Cross multiply
    459,563.90x = 689,907.45 × 260,023.10
  4. Step 4: Simplify right side
    459,563.90x = 179,391,873,862.10
  5. Step 5: Solve for x
    x = 179,391,873,862.10/459,563.90
  6. Step 6: Final answer
    x = 390,352.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.