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Finding the Fourth Proportional to 525,411.32, 725,068.42 and 299,056.82

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Solution

The fourth proportional to 525,411.32, 725,068.42 and 299,056.82 is: 412,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,411.32 : 725,068.42 = 299,056.82 : x
  2. Step 2: Convert to fraction form
    525,411.32/725,068.42 = 299,056.82/x
  3. Step 3: Cross multiply
    525,411.32x = 725,068.42 × 299,056.82
  4. Step 4: Simplify right side
    525,411.32x = 216,836,655,967.62
  5. Step 5: Solve for x
    x = 216,836,655,967.62/525,411.32
  6. Step 6: Final answer
    x = 412,698.87

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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.