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Finding the Fourth Proportional to 475,428.69, 708,952.70 and 471,164.85

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Solution

The fourth proportional to 475,428.69, 708,952.70 and 471,164.85 is: 702,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,428.69 : 708,952.70 = 471,164.85 : x
  2. Step 2: Convert to fraction form
    475,428.69/708,952.70 = 471,164.85/x
  3. Step 3: Cross multiply
    475,428.69x = 708,952.70 × 471,164.85
  4. Step 4: Simplify right side
    475,428.69x = 334,033,593,730.51
  5. Step 5: Solve for x
    x = 334,033,593,730.51/475,428.69
  6. Step 6: Final answer
    x = 702,594.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.