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Finding the Fourth Proportional to 413,346, 620,058.18 and 160,645.98

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Solution

The fourth proportional to 413,346, 620,058.18 and 160,645.98 is: 240,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,346 : 620,058.18 = 160,645.98 : x
  2. Step 2: Convert to fraction form
    413,346/620,058.18 = 160,645.98/x
  3. Step 3: Cross multiply
    413,346x = 620,058.18 × 160,645.98
  4. Step 4: Simplify right side
    413,346x = 99,609,853,983.12
  5. Step 5: Solve for x
    x = 99,609,853,983.12/413,346
  6. Step 6: Final answer
    x = 240,984.20

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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.