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Finding the Fourth Proportional to 506,807.11, 760,210.65 and 233,225.70

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Solution

The fourth proportional to 506,807.11, 760,210.65 and 233,225.70 is: 349,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,807.11 : 760,210.65 = 233,225.70 : x
  2. Step 2: Convert to fraction form
    506,807.11/760,210.65 = 233,225.70/x
  3. Step 3: Cross multiply
    506,807.11x = 760,210.65 × 233,225.70
  4. Step 4: Simplify right side
    506,807.11x = 177,300,658,142.92
  5. Step 5: Solve for x
    x = 177,300,658,142.92/506,807.11
  6. Step 6: Final answer
    x = 349,838.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.