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Finding the Fourth Proportional to 596,065.64, 822,875.22 and 459,793.67

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Solution

The fourth proportional to 596,065.64, 822,875.22 and 459,793.67 is: 634,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,065.64 : 822,875.22 = 459,793.67 : x
  2. Step 2: Convert to fraction form
    596,065.64/822,875.22 = 459,793.67/x
  3. Step 3: Cross multiply
    596,065.64x = 822,875.22 × 459,793.67
  4. Step 4: Simplify right side
    596,065.64x = 378,352,813,241.48
  5. Step 5: Solve for x
    x = 378,352,813,241.48/596,065.64
  6. Step 6: Final answer
    x = 634,750.25

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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.