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Finding the Fourth Proportional to 473,820.71, 653,871 and 258,960.71

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Solution

The fourth proportional to 473,820.71, 653,871 and 258,960.71 is: 357,364.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,820.71 : 653,871 = 258,960.71 : x
  2. Step 2: Convert to fraction form
    473,820.71/653,871 = 258,960.71/x
  3. Step 3: Cross multiply
    473,820.71x = 653,871 × 258,960.71
  4. Step 4: Simplify right side
    473,820.71x = 169,326,898,408.41
  5. Step 5: Solve for x
    x = 169,326,898,408.41/473,820.71
  6. Step 6: Final answer
    x = 357,364.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.