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Finding the Fourth Proportional to 470,587.04, 705,568.50 and 171,032.04

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Solution

The fourth proportional to 470,587.04, 705,568.50 and 171,032.04 is: 256,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,587.04 : 705,568.50 = 171,032.04 : x
  2. Step 2: Convert to fraction form
    470,587.04/705,568.50 = 171,032.04/x
  3. Step 3: Cross multiply
    470,587.04x = 705,568.50 × 171,032.04
  4. Step 4: Simplify right side
    470,587.04x = 120,674,819,914.74
  5. Step 5: Solve for x
    x = 120,674,819,914.74/470,587.04
  6. Step 6: Final answer
    x = 256,434.64

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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.