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Finding the Fourth Proportional to 523,769.07, 785,332.07 and 203,547.04

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Solution

The fourth proportional to 523,769.07, 785,332.07 and 203,547.04 is: 305,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,769.07 : 785,332.07 = 203,547.04 : x
  2. Step 2: Convert to fraction form
    523,769.07/785,332.07 = 203,547.04/x
  3. Step 3: Cross multiply
    523,769.07x = 785,332.07 × 203,547.04
  4. Step 4: Simplify right side
    523,769.07x = 159,852,016,047.81
  5. Step 5: Solve for x
    x = 159,852,016,047.81/523,769.07
  6. Step 6: Final answer
    x = 305,195.60

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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.