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Finding the Fourth Proportional to 598,773.61, 898,173.12 and 214,547.48

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Solution

The fourth proportional to 598,773.61, 898,173.12 and 214,547.48 is: 321,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,773.61 : 898,173.12 = 214,547.48 : x
  2. Step 2: Convert to fraction form
    598,773.61/898,173.12 = 214,547.48/x
  3. Step 3: Cross multiply
    598,773.61x = 898,173.12 × 214,547.48
  4. Step 4: Simplify right side
    598,773.61x = 192,700,775,008.87
  5. Step 5: Solve for x
    x = 192,700,775,008.87/598,773.61
  6. Step 6: Final answer
    x = 321,825.77

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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.