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Finding the Fourth Proportional to 524,214, 786,321.54 and 130,230

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Solution

The fourth proportional to 524,214, 786,321.54 and 130,230 is: 195,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,214 : 786,321.54 = 130,230 : x
  2. Step 2: Convert to fraction form
    524,214/786,321.54 = 130,230/x
  3. Step 3: Cross multiply
    524,214x = 786,321.54 × 130,230
  4. Step 4: Simplify right side
    524,214x = 102,402,654,154.20
  5. Step 5: Solve for x
    x = 102,402,654,154.20/524,214
  6. Step 6: Final answer
    x = 195,345.13

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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.