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Finding the Fourth Proportional to 523,113.59, 785,014.84 and 286,622.35

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Solution

The fourth proportional to 523,113.59, 785,014.84 and 286,622.35 is: 430,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,113.59 : 785,014.84 = 286,622.35 : x
  2. Step 2: Convert to fraction form
    523,113.59/785,014.84 = 286,622.35/x
  3. Step 3: Cross multiply
    523,113.59x = 785,014.84 × 286,622.35
  4. Step 4: Simplify right side
    523,113.59x = 225,002,796,621.42
  5. Step 5: Solve for x
    x = 225,002,796,621.42/523,113.59
  6. Step 6: Final answer
    x = 430,122.25

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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.