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Finding the Fourth Proportional to 413,347, 620,059.68 and 160,646.98

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Solution

The fourth proportional to 413,347, 620,059.68 and 160,646.98 is: 240,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,347 : 620,059.68 = 160,646.98 : x
  2. Step 2: Convert to fraction form
    413,347/620,059.68 = 160,646.98/x
  3. Step 3: Cross multiply
    413,347x = 620,059.68 × 160,646.98
  4. Step 4: Simplify right side
    413,347x = 99,610,715,011.77
  5. Step 5: Solve for x
    x = 99,610,715,011.77/413,347
  6. Step 6: Final answer
    x = 240,985.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.