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Finding the Fourth Proportional to 614,795.87, 848,416.59 and 342,864.02

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Solution

The fourth proportional to 614,795.87, 848,416.59 and 342,864.02 is: 473,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,795.87 : 848,416.59 = 342,864.02 : x
  2. Step 2: Convert to fraction form
    614,795.87/848,416.59 = 342,864.02/x
  3. Step 3: Cross multiply
    614,795.87x = 848,416.59 × 342,864.02
  4. Step 4: Simplify right side
    614,795.87x = 290,891,518,440.01
  5. Step 5: Solve for x
    x = 290,891,518,440.01/614,795.87
  6. Step 6: Final answer
    x = 473,151.39

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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.