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Finding the Fourth Proportional to 616,138.35, 849,059.62 and 471,108.35

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Solution

The fourth proportional to 616,138.35, 849,059.62 and 471,108.35 is: 649,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,138.35 : 849,059.62 = 471,108.35 : x
  2. Step 2: Convert to fraction form
    616,138.35/849,059.62 = 471,108.35/x
  3. Step 3: Cross multiply
    616,138.35x = 849,059.62 × 471,108.35
  4. Step 4: Simplify right side
    616,138.35x = 399,999,077,574.71
  5. Step 5: Solve for x
    x = 399,999,077,574.71/616,138.35
  6. Step 6: Final answer
    x = 649,203.35

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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.