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Finding the Fourth Proportional to 463,119.48, 695,011.32 and 197,066.88

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Solution

The fourth proportional to 463,119.48, 695,011.32 and 197,066.88 is: 295,741.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,119.48 : 695,011.32 = 197,066.88 : x
  2. Step 2: Convert to fraction form
    463,119.48/695,011.32 = 197,066.88/x
  3. Step 3: Cross multiply
    463,119.48x = 695,011.32 × 197,066.88
  4. Step 4: Simplify right side
    463,119.48x = 136,963,712,397.08
  5. Step 5: Solve for x
    x = 136,963,712,397.08/463,119.48
  6. Step 6: Final answer
    x = 295,741.64

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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.