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Finding the Fourth Proportional to 410,159.64, 565,935.80 and 235,696.14

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Solution

The fourth proportional to 410,159.64, 565,935.80 and 235,696.14 is: 325,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,159.64 : 565,935.80 = 235,696.14 : x
  2. Step 2: Convert to fraction form
    410,159.64/565,935.80 = 235,696.14/x
  3. Step 3: Cross multiply
    410,159.64x = 565,935.80 × 235,696.14
  4. Step 4: Simplify right side
    410,159.64x = 133,388,883,547.81
  5. Step 5: Solve for x
    x = 133,388,883,547.81/410,159.64
  6. Step 6: Final answer
    x = 325,212.11

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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.