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Finding the Fourth Proportional to 584,005.18, 805,774.53 and 342,157.90

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Solution

The fourth proportional to 584,005.18, 805,774.53 and 342,157.90 is: 472,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,005.18 : 805,774.53 = 342,157.90 : x
  2. Step 2: Convert to fraction form
    584,005.18/805,774.53 = 342,157.90/x
  3. Step 3: Cross multiply
    584,005.18x = 805,774.53 × 342,157.90
  4. Step 4: Simplify right side
    584,005.18x = 275,702,121,058.29
  5. Step 5: Solve for x
    x = 275,702,121,058.29/584,005.18
  6. Step 6: Final answer
    x = 472,088.49

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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.