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Finding the Fourth Proportional to 589,393.98, 884,097.14 and 471,812.76

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Solution

The fourth proportional to 589,393.98, 884,097.14 and 471,812.76 is: 707,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,393.98 : 884,097.14 = 471,812.76 : x
  2. Step 2: Convert to fraction form
    589,393.98/884,097.14 = 471,812.76/x
  3. Step 3: Cross multiply
    589,393.98x = 884,097.14 × 471,812.76
  4. Step 4: Simplify right side
    589,393.98x = 417,128,311,731.51
  5. Step 5: Solve for x
    x = 417,128,311,731.51/589,393.98
  6. Step 6: Final answer
    x = 707,724.08

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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.