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Finding the Fourth Proportional to 565,466.19, 780,345.93 and 310,833.78

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Solution

The fourth proportional to 565,466.19, 780,345.93 and 310,833.78 is: 428,952.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,466.19 : 780,345.93 = 310,833.78 : x
  2. Step 2: Convert to fraction form
    565,466.19/780,345.93 = 310,833.78/x
  3. Step 3: Cross multiply
    565,466.19x = 780,345.93 × 310,833.78
  4. Step 4: Simplify right side
    565,466.19x = 242,557,875,129.52
  5. Step 5: Solve for x
    x = 242,557,875,129.52/565,466.19
  6. Step 6: Final answer
    x = 428,952.04

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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.