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Finding the Fourth Proportional to 1,333,584, 2,000,551.77 and 434,710.80

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Solution

The fourth proportional to 1,333,584, 2,000,551.77 and 434,710.80 is: 652,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333,584 : 2,000,551.77 = 434,710.80 : x
  2. Step 2: Convert to fraction form
    1,333,584/2,000,551.77 = 434,710.80/x
  3. Step 3: Cross multiply
    1,333,584x = 2,000,551.77 × 434,710.80
  4. Step 4: Simplify right side
    1,333,584x = 869,661,460,378.12
  5. Step 5: Solve for x
    x = 869,661,460,378.12/1,333,584
  6. Step 6: Final answer
    x = 652,123.50

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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.