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Finding the Fourth Proportional to 524,637, 786,962.52 and 164,796.12

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Solution

The fourth proportional to 524,637, 786,962.52 and 164,796.12 is: 247,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,637 : 786,962.52 = 164,796.12 : x
  2. Step 2: Convert to fraction form
    524,637/786,962.52 = 164,796.12/x
  3. Step 3: Cross multiply
    524,637x = 786,962.52 × 164,796.12
  4. Step 4: Simplify right side
    524,637x = 129,688,369,881.42
  5. Step 5: Solve for x
    x = 129,688,369,881.42/524,637
  6. Step 6: Final answer
    x = 247,196.39

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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.