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Finding the Fourth Proportional to 308,746.08, 463,162.86 and 98,312.94

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Solution

The fourth proportional to 308,746.08, 463,162.86 and 98,312.94 is: 147,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,746.08 : 463,162.86 = 98,312.94 : x
  2. Step 2: Convert to fraction form
    308,746.08/463,162.86 = 98,312.94/x
  3. Step 3: Cross multiply
    308,746.08x = 463,162.86 × 98,312.94
  4. Step 4: Simplify right side
    308,746.08x = 45,534,902,465.41
  5. Step 5: Solve for x
    x = 45,534,902,465.41/308,746.08
  6. Step 6: Final answer
    x = 147,483.34

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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.