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Finding the Fourth Proportional to 340,829.98, 470,172.51 and 260,117.38

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Solution

The fourth proportional to 340,829.98, 470,172.51 and 260,117.38 is: 358,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,829.98 : 470,172.51 = 260,117.38 : x
  2. Step 2: Convert to fraction form
    340,829.98/470,172.51 = 260,117.38/x
  3. Step 3: Cross multiply
    340,829.98x = 470,172.51 × 260,117.38
  4. Step 4: Simplify right side
    340,829.98x = 122,300,039,098.36
  5. Step 5: Solve for x
    x = 122,300,039,098.36/340,829.98
  6. Step 6: Final answer
    x = 358,830.06

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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.