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Finding the Fourth Proportional to 336,004, 463,686.96 and 185,097.76

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Solution

The fourth proportional to 336,004, 463,686.96 and 185,097.76 is: 255,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,004 : 463,686.96 = 185,097.76 : x
  2. Step 2: Convert to fraction form
    336,004/463,686.96 = 185,097.76/x
  3. Step 3: Cross multiply
    336,004x = 463,686.96 × 185,097.76
  4. Step 4: Simplify right side
    336,004x = 85,827,417,637.21
  5. Step 5: Solve for x
    x = 85,827,417,637.21/336,004
  6. Step 6: Final answer
    x = 255,435.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.