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Finding the Fourth Proportional to 511,368.46, 705,532.09 and 296,465.64

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Solution

The fourth proportional to 511,368.46, 705,532.09 and 296,465.64 is: 409,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,368.46 : 705,532.09 = 296,465.64 : x
  2. Step 2: Convert to fraction form
    511,368.46/705,532.09 = 296,465.64/x
  3. Step 3: Cross multiply
    511,368.46x = 705,532.09 × 296,465.64
  4. Step 4: Simplify right side
    511,368.46x = 209,166,022,602.39
  5. Step 5: Solve for x
    x = 209,166,022,602.39/511,368.46
  6. Step 6: Final answer
    x = 409,031.92

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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.