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Finding the Fourth Proportional to 562,615.36, 776,409.44 and 307,968

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Solution

The fourth proportional to 562,615.36, 776,409.44 and 307,968 is: 424,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,615.36 : 776,409.44 = 307,968 : x
  2. Step 2: Convert to fraction form
    562,615.36/776,409.44 = 307,968/x
  3. Step 3: Cross multiply
    562,615.36x = 776,409.44 × 307,968
  4. Step 4: Simplify right side
    562,615.36x = 239,109,262,417.92
  5. Step 5: Solve for x
    x = 239,109,262,417.92/562,615.36
  6. Step 6: Final answer
    x = 424,995.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.