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Finding the Fourth Proportional to 565,465.04, 848,197.02 and 144,740.24

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Solution

The fourth proportional to 565,465.04, 848,197.02 and 144,740.24 is: 217,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,465.04 : 848,197.02 = 144,740.24 : x
  2. Step 2: Convert to fraction form
    565,465.04/848,197.02 = 144,740.24/x
  3. Step 3: Cross multiply
    565,465.04x = 848,197.02 × 144,740.24
  4. Step 4: Simplify right side
    565,465.04x = 122,768,240,242.09
  5. Step 5: Solve for x
    x = 122,768,240,242.09/565,465.04
  6. Step 6: Final answer
    x = 217,110.22

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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.