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Finding the Fourth Proportional to 522,397.80, 720,701.64 and 341,051.76

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Solution

The fourth proportional to 522,397.80, 720,701.64 and 341,051.76 is: 470,516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,397.80 : 720,701.64 = 341,051.76 : x
  2. Step 2: Convert to fraction form
    522,397.80/720,701.64 = 341,051.76/x
  3. Step 3: Cross multiply
    522,397.80x = 720,701.64 × 341,051.76
  4. Step 4: Simplify right side
    522,397.80x = 245,796,562,756.89
  5. Step 5: Solve for x
    x = 245,796,562,756.89/522,397.80
  6. Step 6: Final answer
    x = 470,516.08

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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.