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Finding the Fourth Proportional to 425,025, 586,534.50 and 234,037.98

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Solution

The fourth proportional to 425,025, 586,534.50 and 234,037.98 is: 322,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,025 : 586,534.50 = 234,037.98 : x
  2. Step 2: Convert to fraction form
    425,025/586,534.50 = 234,037.98/x
  3. Step 3: Cross multiply
    425,025x = 586,534.50 × 234,037.98
  4. Step 4: Simplify right side
    425,025x = 137,271,349,580.31
  5. Step 5: Solve for x
    x = 137,271,349,580.31/425,025
  6. Step 6: Final answer
    x = 322,972.41

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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.