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Finding the Fourth Proportional to 553,661.84, 830,413.92 and 174,533.36

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Solution

The fourth proportional to 553,661.84, 830,413.92 and 174,533.36 is: 261,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,661.84 : 830,413.92 = 174,533.36 : x
  2. Step 2: Convert to fraction form
    553,661.84/830,413.92 = 174,533.36/x
  3. Step 3: Cross multiply
    553,661.84x = 830,413.92 × 174,533.36
  4. Step 4: Simplify right side
    553,661.84x = 144,934,931,648.37
  5. Step 5: Solve for x
    x = 144,934,931,648.37/553,661.84
  6. Step 6: Final answer
    x = 261,775.19

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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.