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Finding the Fourth Proportional to 589,386.22, 884,085.51 and 471,805

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Solution

The fourth proportional to 589,386.22, 884,085.51 and 471,805 is: 707,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,386.22 : 884,085.51 = 471,805 : x
  2. Step 2: Convert to fraction form
    589,386.22/884,085.51 = 471,805/x
  3. Step 3: Cross multiply
    589,386.22x = 884,085.51 × 471,805
  4. Step 4: Simplify right side
    589,386.22x = 417,115,964,045.55
  5. Step 5: Solve for x
    x = 417,115,964,045.55/589,386.22
  6. Step 6: Final answer
    x = 707,712.45

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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.