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Finding the Fourth Proportional to 459,364.68, 688,148.46 and 301,110.12

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Solution

The fourth proportional to 459,364.68, 688,148.46 and 301,110.12 is: 451,076.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,364.68 : 688,148.46 = 301,110.12 : x
  2. Step 2: Convert to fraction form
    459,364.68/688,148.46 = 301,110.12/x
  3. Step 3: Cross multiply
    459,364.68x = 688,148.46 × 301,110.12
  4. Step 4: Simplify right side
    459,364.68x = 207,208,465,368.42
  5. Step 5: Solve for x
    x = 207,208,465,368.42/459,364.68
  6. Step 6: Final answer
    x = 451,076.18

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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.