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Finding the Fourth Proportional to 586,435.80, 879,653.70 and 523,450.20

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Solution

The fourth proportional to 586,435.80, 879,653.70 and 523,450.20 is: 785,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,435.80 : 879,653.70 = 523,450.20 : x
  2. Step 2: Convert to fraction form
    586,435.80/879,653.70 = 523,450.20/x
  3. Step 3: Cross multiply
    586,435.80x = 879,653.70 × 523,450.20
  4. Step 4: Simplify right side
    586,435.80x = 460,454,905,195.74
  5. Step 5: Solve for x
    x = 460,454,905,195.74/586,435.80
  6. Step 6: Final answer
    x = 785,175.30

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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.