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Finding the Fourth Proportional to 616,133.64, 924,193.20 and 195,413.16

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Solution

The fourth proportional to 616,133.64, 924,193.20 and 195,413.16 is: 293,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,133.64 : 924,193.20 = 195,413.16 : x
  2. Step 2: Convert to fraction form
    616,133.64/924,193.20 = 195,413.16/x
  3. Step 3: Cross multiply
    616,133.64x = 924,193.20 × 195,413.16
  4. Step 4: Simplify right side
    616,133.64x = 180,599,513,662.51
  5. Step 5: Solve for x
    x = 180,599,513,662.51/616,133.64
  6. Step 6: Final answer
    x = 293,117.44

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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.