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Finding the Fourth Proportional to 575,837.10, 862,509.06 and 417,717

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Solution

The fourth proportional to 575,837.10, 862,509.06 and 417,717 is: 625,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,837.10 : 862,509.06 = 417,717 : x
  2. Step 2: Convert to fraction form
    575,837.10/862,509.06 = 417,717/x
  3. Step 3: Cross multiply
    575,837.10x = 862,509.06 × 417,717
  4. Step 4: Simplify right side
    575,837.10x = 360,284,697,016.02
  5. Step 5: Solve for x
    x = 360,284,697,016.02/575,837.10
  6. Step 6: Final answer
    x = 625,671.21

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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.