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Finding the Fourth Proportional to 412,562.50, 569,336.25 and 233,714.50

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Solution

The fourth proportional to 412,562.50, 569,336.25 and 233,714.50 is: 322,526.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,562.50 : 569,336.25 = 233,714.50 : x
  2. Step 2: Convert to fraction form
    412,562.50/569,336.25 = 233,714.50/x
  3. Step 3: Cross multiply
    412,562.50x = 569,336.25 × 233,714.50
  4. Step 4: Simplify right side
    412,562.50x = 133,062,137,000.63
  5. Step 5: Solve for x
    x = 133,062,137,000.63/412,562.50
  6. Step 6: Final answer
    x = 322,526.01

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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.