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Finding the Fourth Proportional to 506,477.01, 759,434.90 and 207,167.70

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Solution

The fourth proportional to 506,477.01, 759,434.90 and 207,167.70 is: 310,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,477.01 : 759,434.90 = 207,167.70 : x
  2. Step 2: Convert to fraction form
    506,477.01/759,434.90 = 207,167.70/x
  3. Step 3: Cross multiply
    506,477.01x = 759,434.90 × 207,167.70
  4. Step 4: Simplify right side
    506,477.01x = 157,330,380,496.89
  5. Step 5: Solve for x
    x = 157,330,380,496.89/506,477.01
  6. Step 6: Final answer
    x = 310,636.77

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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.