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Finding the Fourth Proportional to 1,037,591.10, 1,554,928.65 and 824,723.10

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Solution

The fourth proportional to 1,037,591.10, 1,554,928.65 and 824,723.10 is: 1,235,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,591.10 : 1,554,928.65 = 824,723.10 : x
  2. Step 2: Convert to fraction form
    1,037,591.10/1,554,928.65 = 824,723.10/x
  3. Step 3: Cross multiply
    1,037,591.10x = 1,554,928.65 × 824,723.10
  4. Step 4: Simplify right side
    1,037,591.10x = 1,282,385,576,506.82
  5. Step 5: Solve for x
    x = 1,282,385,576,506.82/1,037,591.10
  6. Step 6: Final answer
    x = 1,235,925.77

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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.