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Finding the Fourth Proportional to 313,411.34, 432,545.90 and 184,343.66

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Solution

The fourth proportional to 313,411.34, 432,545.90 and 184,343.66 is: 254,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,411.34 : 432,545.90 = 184,343.66 : x
  2. Step 2: Convert to fraction form
    313,411.34/432,545.90 = 184,343.66/x
  3. Step 3: Cross multiply
    313,411.34x = 432,545.90 × 184,343.66
  4. Step 4: Simplify right side
    313,411.34x = 79,737,091,239.55
  5. Step 5: Solve for x
    x = 79,737,091,239.55/313,411.34
  6. Step 6: Final answer
    x = 254,416.74

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1.5x scale

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.