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Finding the Fourth Proportional to 565,218.64, 780,001.54 and 310,586.23

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Solution

The fourth proportional to 565,218.64, 780,001.54 and 310,586.23 is: 428,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,218.64 : 780,001.54 = 310,586.23 : x
  2. Step 2: Convert to fraction form
    565,218.64/780,001.54 = 310,586.23/x
  3. Step 3: Cross multiply
    565,218.64x = 780,001.54 × 310,586.23
  4. Step 4: Simplify right side
    565,218.64x = 242,257,737,702.79
  5. Step 5: Solve for x
    x = 242,257,737,702.79/565,218.64
  6. Step 6: Final answer
    x = 428,608.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.