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Finding the Fourth Proportional to 459,470.76, 689,206.38 and 175,095

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Solution

The fourth proportional to 459,470.76, 689,206.38 and 175,095 is: 262,642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,470.76 : 689,206.38 = 175,095 : x
  2. Step 2: Convert to fraction form
    459,470.76/689,206.38 = 175,095/x
  3. Step 3: Cross multiply
    459,470.76x = 689,206.38 × 175,095
  4. Step 4: Simplify right side
    459,470.76x = 120,676,591,106.10
  5. Step 5: Solve for x
    x = 120,676,591,106.10/459,470.76
  6. Step 6: Final answer
    x = 262,642.59

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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.