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Finding the Fourth Proportional to 506,226, 759,465.96 and 151,238.64

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Solution

The fourth proportional to 506,226, 759,465.96 and 151,238.64 is: 226,895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,226 : 759,465.96 = 151,238.64 : x
  2. Step 2: Convert to fraction form
    506,226/759,465.96 = 151,238.64/x
  3. Step 3: Cross multiply
    506,226x = 759,465.96 × 151,238.64
  4. Step 4: Simplify right side
    506,226x = 114,860,598,916.69
  5. Step 5: Solve for x
    x = 114,860,598,916.69/506,226
  6. Step 6: Final answer
    x = 226,895.89

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1.5x scale

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.