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Finding the Fourth Proportional to 566,862.84, 782,234.78 and 312,214.01

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Solution

The fourth proportional to 566,862.84, 782,234.78 and 312,214.01 is: 430,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,862.84 : 782,234.78 = 312,214.01 : x
  2. Step 2: Convert to fraction form
    566,862.84/782,234.78 = 312,214.01/x
  3. Step 3: Cross multiply
    566,862.84x = 782,234.78 × 312,214.01
  4. Step 4: Simplify right side
    566,862.84x = 244,224,651,953.02
  5. Step 5: Solve for x
    x = 244,224,651,953.02/566,862.84
  6. Step 6: Final answer
    x = 430,835.53

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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.