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Finding the Fourth Proportional to 409,637.81, 565,068.64 and 256,410.02

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Solution

The fourth proportional to 409,637.81, 565,068.64 and 256,410.02 is: 353,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,637.81 : 565,068.64 = 256,410.02 : x
  2. Step 2: Convert to fraction form
    409,637.81/565,068.64 = 256,410.02/x
  3. Step 3: Cross multiply
    409,637.81x = 565,068.64 × 256,410.02
  4. Step 4: Simplify right side
    409,637.81x = 144,889,261,283.77
  5. Step 5: Solve for x
    x = 144,889,261,283.77/409,637.81
  6. Step 6: Final answer
    x = 353,700.90

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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.