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Finding the Fourth Proportional to 409,623.36, 565,048.71 and 256,395.53

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Solution

The fourth proportional to 409,623.36, 565,048.71 and 256,395.53 is: 353,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,623.36 : 565,048.71 = 256,395.53 : x
  2. Step 2: Convert to fraction form
    409,623.36/565,048.71 = 256,395.53/x
  3. Step 3: Cross multiply
    409,623.36x = 565,048.71 × 256,395.53
  4. Step 4: Simplify right side
    409,623.36x = 144,875,963,476.27
  5. Step 5: Solve for x
    x = 144,875,963,476.27/409,623.36
  6. Step 6: Final answer
    x = 353,680.91

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1.5x scale

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.