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Finding the Fourth Proportional to 523,065, 784,714.14 and 190,641

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Solution

The fourth proportional to 523,065, 784,714.14 and 190,641 is: 286,004.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,065 : 784,714.14 = 190,641 : x
  2. Step 2: Convert to fraction form
    523,065/784,714.14 = 190,641/x
  3. Step 3: Cross multiply
    523,065x = 784,714.14 × 190,641
  4. Step 4: Simplify right side
    523,065x = 149,598,688,363.74
  5. Step 5: Solve for x
    x = 149,598,688,363.74/523,065
  6. Step 6: Final answer
    x = 286,004.01

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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.