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Finding the Fourth Proportional to 583,907.42, 805,792.86 and 342,141.86

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Solution

The fourth proportional to 583,907.42, 805,792.86 and 342,141.86 is: 472,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,907.42 : 805,792.86 = 342,141.86 : x
  2. Step 2: Convert to fraction form
    583,907.42/805,792.86 = 342,141.86/x
  3. Step 3: Cross multiply
    583,907.42x = 805,792.86 × 342,141.86
  4. Step 4: Simplify right side
    583,907.42x = 275,695,467,895.12
  5. Step 5: Solve for x
    x = 275,695,467,895.12/583,907.42
  6. Step 6: Final answer
    x = 472,156.13

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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.