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Finding the Fourth Proportional to 582,457.26, 803,482.74 and 400,853.91

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Solution

The fourth proportional to 582,457.26, 803,482.74 and 400,853.91 is: 552,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,457.26 : 803,482.74 = 400,853.91 : x
  2. Step 2: Convert to fraction form
    582,457.26/803,482.74 = 400,853.91/x
  3. Step 3: Cross multiply
    582,457.26x = 803,482.74 × 400,853.91
  4. Step 4: Simplify right side
    582,457.26x = 322,079,195,238.06
  5. Step 5: Solve for x
    x = 322,079,195,238.06/582,457.26
  6. Step 6: Final answer
    x = 552,966.23

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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.