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Finding the Fourth Proportional to 470,543.81, 705,818.07 and 115,557.93

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Solution

The fourth proportional to 470,543.81, 705,818.07 and 115,557.93 is: 173,337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,543.81 : 705,818.07 = 115,557.93 : x
  2. Step 2: Convert to fraction form
    470,543.81/705,818.07 = 115,557.93/x
  3. Step 3: Cross multiply
    470,543.81x = 705,818.07 × 115,557.93
  4. Step 4: Simplify right side
    470,543.81x = 81,562,875,125.80
  5. Step 5: Solve for x
    x = 81,562,875,125.80/470,543.81
  6. Step 6: Final answer
    x = 173,337.48

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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.