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Finding the Fourth Proportional to 471,802.02, 651,098.46 and 256,953.78

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Solution

The fourth proportional to 471,802.02, 651,098.46 and 256,953.78 is: 354,602.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,802.02 : 651,098.46 = 256,953.78 : x
  2. Step 2: Convert to fraction form
    471,802.02/651,098.46 = 256,953.78/x
  3. Step 3: Cross multiply
    471,802.02x = 651,098.46 × 256,953.78
  4. Step 4: Simplify right side
    471,802.02x = 167,302,210,449.18
  5. Step 5: Solve for x
    x = 167,302,210,449.18/471,802.02
  6. Step 6: Final answer
    x = 354,602.57

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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.