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Finding the Fourth Proportional to 588,496, 882,746.16 and 145,264

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Solution

The fourth proportional to 588,496, 882,746.16 and 145,264 is: 217,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,496 : 882,746.16 = 145,264 : x
  2. Step 2: Convert to fraction form
    588,496/882,746.16 = 145,264/x
  3. Step 3: Cross multiply
    588,496x = 882,746.16 × 145,264
  4. Step 4: Simplify right side
    588,496x = 128,231,238,186.24
  5. Step 5: Solve for x
    x = 128,231,238,186.24/588,496
  6. Step 6: Final answer
    x = 217,896.53

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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.