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Finding the Fourth Proportional to 525,366, 725,006.04 and 286,902

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Solution

The fourth proportional to 525,366, 725,006.04 and 286,902 is: 395,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,366 : 725,006.04 = 286,902 : x
  2. Step 2: Convert to fraction form
    525,366/725,006.04 = 286,902/x
  3. Step 3: Cross multiply
    525,366x = 725,006.04 × 286,902
  4. Step 4: Simplify right side
    525,366x = 208,005,682,888.08
  5. Step 5: Solve for x
    x = 208,005,682,888.08/525,366
  6. Step 6: Final answer
    x = 395,925.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.