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Finding the Fourth Proportional to 473,703.41, 653,702.87 and 258,838.56

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Solution

The fourth proportional to 473,703.41, 653,702.87 and 258,838.56 is: 357,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,703.41 : 653,702.87 = 258,838.56 : x
  2. Step 2: Convert to fraction form
    473,703.41/653,702.87 = 258,838.56/x
  3. Step 3: Cross multiply
    473,703.41x = 653,702.87 × 258,838.56
  4. Step 4: Simplify right side
    473,703.41x = 169,203,510,185.76
  5. Step 5: Solve for x
    x = 169,203,510,185.76/473,703.41
  6. Step 6: Final answer
    x = 357,192.93

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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.