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Finding the Fourth Proportional to 475,961.00, 714,128.40 and 209,534.58

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Solution

The fourth proportional to 475,961.00, 714,128.40 and 209,534.58 is: 314,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,961.00 : 714,128.40 = 209,534.58 : x
  2. Step 2: Convert to fraction form
    475,961.00/714,128.40 = 209,534.58/x
  3. Step 3: Cross multiply
    475,961.00x = 714,128.40 × 209,534.58
  4. Step 4: Simplify right side
    475,961.00x = 149,634,594,360.07
  5. Step 5: Solve for x
    x = 149,634,594,360.07/475,961.00
  6. Step 6: Final answer
    x = 314,384.15

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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.