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Finding the Fourth Proportional to 532,923.93, 735,436.94 and 291,206.50

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Solution

The fourth proportional to 532,923.93, 735,436.94 and 291,206.50 is: 401,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,923.93 : 735,436.94 = 291,206.50 : x
  2. Step 2: Convert to fraction form
    532,923.93/735,436.94 = 291,206.50/x
  3. Step 3: Cross multiply
    532,923.93x = 735,436.94 × 291,206.50
  4. Step 4: Simplify right side
    532,923.93x = 214,164,013,973.49
  5. Step 5: Solve for x
    x = 214,164,013,973.49/532,923.93
  6. Step 6: Final answer
    x = 401,866.01

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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.