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Finding the Fourth Proportional to 562,106.72, 775,719.58 and 307,457.90

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Solution

The fourth proportional to 562,106.72, 775,719.58 and 307,457.90 is: 424,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,106.72 : 775,719.58 = 307,457.90 : x
  2. Step 2: Convert to fraction form
    562,106.72/775,719.58 = 307,457.90/x
  3. Step 3: Cross multiply
    562,106.72x = 775,719.58 × 307,457.90
  4. Step 4: Simplify right side
    562,106.72x = 238,501,113,055.68
  5. Step 5: Solve for x
    x = 238,501,113,055.68/562,106.72
  6. Step 6: Final answer
    x = 424,298.63

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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.