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Finding the Fourth Proportional to 459,164.49, 688,753.75 and 174,870.84

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Solution

The fourth proportional to 459,164.49, 688,753.75 and 174,870.84 is: 262,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,164.49 : 688,753.75 = 174,870.84 : x
  2. Step 2: Convert to fraction form
    459,164.49/688,753.75 = 174,870.84/x
  3. Step 3: Cross multiply
    459,164.49x = 688,753.75 × 174,870.84
  4. Step 4: Simplify right side
    459,164.49x = 120,442,946,378.47
  5. Step 5: Solve for x
    x = 120,442,946,378.47/459,164.49
  6. Step 6: Final answer
    x = 262,308.93

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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.