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Finding the Fourth Proportional to 1,531,584.71, 2,297,719.71 and 466,710.11

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Solution

The fourth proportional to 1,531,584.71, 2,297,719.71 and 466,710.11 is: 700,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,584.71 : 2,297,719.71 = 466,710.11 : x
  2. Step 2: Convert to fraction form
    1,531,584.71/2,297,719.71 = 466,710.11/x
  3. Step 3: Cross multiply
    1,531,584.71x = 2,297,719.71 × 466,710.11
  4. Step 4: Simplify right side
    1,531,584.71x = 1,072,369,018,603.27
  5. Step 5: Solve for x
    x = 1,072,369,018,603.27/1,531,584.71
  6. Step 6: Final answer
    x = 700,169.58

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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.