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Finding the Fourth Proportional to 586,216.89, 879,430.64 and 207,357.21

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Solution

The fourth proportional to 586,216.89, 879,430.64 and 207,357.21 is: 311,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,216.89 : 879,430.64 = 207,357.21 : x
  2. Step 2: Convert to fraction form
    586,216.89/879,430.64 = 207,357.21/x
  3. Step 3: Cross multiply
    586,216.89x = 879,430.64 × 207,357.21
  4. Step 4: Simplify right side
    586,216.89x = 182,356,282,862.13
  5. Step 5: Solve for x
    x = 182,356,282,862.13/586,216.89
  6. Step 6: Final answer
    x = 311,073.06

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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.