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Finding the Fourth Proportional to 463,666.79, 695,547.38 and 160,021.43

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Solution

The fourth proportional to 463,666.79, 695,547.38 and 160,021.43 is: 240,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,666.79 : 695,547.38 = 160,021.43 : x
  2. Step 2: Convert to fraction form
    463,666.79/695,547.38 = 160,021.43/x
  3. Step 3: Cross multiply
    463,666.79x = 695,547.38 × 160,021.43
  4. Step 4: Simplify right side
    463,666.79x = 111,302,482,102.51
  5. Step 5: Solve for x
    x = 111,302,482,102.51/463,666.79
  6. Step 6: Final answer
    x = 240,048.43

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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.