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Finding the Fourth Proportional to 1,606,973.50, 2,411,136.15 and 1,000,269.01

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Solution

The fourth proportional to 1,606,973.50, 2,411,136.15 and 1,000,269.01 is: 1,500,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,973.50 : 2,411,136.15 = 1,000,269.01 : x
  2. Step 2: Convert to fraction form
    1,606,973.50/2,411,136.15 = 1,000,269.01/x
  3. Step 3: Cross multiply
    1,606,973.50x = 2,411,136.15 × 1,000,269.01
  4. Step 4: Simplify right side
    1,606,973.50x = 2,411,784,769,735.71
  5. Step 5: Solve for x
    x = 2,411,784,769,735.71/1,606,973.50
  6. Step 6: Final answer
    x = 1,500,824.23

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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.