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Finding the Fourth Proportional to 401,616.16, 602,395.76 and 188,430.88

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Solution

The fourth proportional to 401,616.16, 602,395.76 and 188,430.88 is: 282,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,616.16 : 602,395.76 = 188,430.88 : x
  2. Step 2: Convert to fraction form
    401,616.16/602,395.76 = 188,430.88/x
  3. Step 3: Cross multiply
    401,616.16x = 602,395.76 × 188,430.88
  4. Step 4: Simplify right side
    401,616.16x = 113,509,963,165.07
  5. Step 5: Solve for x
    x = 113,509,963,165.07/401,616.16
  6. Step 6: Final answer
    x = 282,632.96

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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.