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Finding the Fourth Proportional to 432,547.56, 648,413.10 and 208,035

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Solution

The fourth proportional to 432,547.56, 648,413.10 and 208,035 is: 311,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,547.56 : 648,413.10 = 208,035 : x
  2. Step 2: Convert to fraction form
    432,547.56/648,413.10 = 208,035/x
  3. Step 3: Cross multiply
    432,547.56x = 648,413.10 × 208,035
  4. Step 4: Simplify right side
    432,547.56x = 134,892,619,258.50
  5. Step 5: Solve for x
    x = 134,892,619,258.50/432,547.56
  6. Step 6: Final answer
    x = 311,856.16

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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.