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Finding the Fourth Proportional to 570,802.17, 787,163.61 and 341,323

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Solution

The fourth proportional to 570,802.17, 787,163.61 and 341,323 is: 470,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,802.17 : 787,163.61 = 341,323 : x
  2. Step 2: Convert to fraction form
    570,802.17/787,163.61 = 341,323/x
  3. Step 3: Cross multiply
    570,802.17x = 787,163.61 × 341,323
  4. Step 4: Simplify right side
    570,802.17x = 268,677,044,856.03
  5. Step 5: Solve for x
    x = 268,677,044,856.03/570,802.17
  6. Step 6: Final answer
    x = 470,700.81

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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.