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Finding the Fourth Proportional to 560,413.72, 841,192.40 and 410,207.84

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Solution

The fourth proportional to 560,413.72, 841,192.40 and 410,207.84 is: 615,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,413.72 : 841,192.40 = 410,207.84 : x
  2. Step 2: Convert to fraction form
    560,413.72/841,192.40 = 410,207.84/x
  3. Step 3: Cross multiply
    560,413.72x = 841,192.40 × 410,207.84
  4. Step 4: Simplify right side
    560,413.72x = 345,063,717,428.42
  5. Step 5: Solve for x
    x = 345,063,717,428.42/560,413.72
  6. Step 6: Final answer
    x = 615,730.32

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