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Finding the Fourth Proportional to 506,458.12, 759,946.38 and 207,159.88

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Solution

The fourth proportional to 506,458.12, 759,946.38 and 207,159.88 is: 310,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,458.12 : 759,946.38 = 207,159.88 : x
  2. Step 2: Convert to fraction form
    506,458.12/759,946.38 = 207,159.88/x
  3. Step 3: Cross multiply
    506,458.12x = 759,946.38 × 207,159.88
  4. Step 4: Simplify right side
    506,458.12x = 157,430,400,887.23
  5. Step 5: Solve for x
    x = 157,430,400,887.23/506,458.12
  6. Step 6: Final answer
    x = 310,845.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.