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Finding the Fourth Proportional to 407,457.84, 562,327.40 and 237,746.64

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Solution

The fourth proportional to 407,457.84, 562,327.40 and 237,746.64 is: 328,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,457.84 : 562,327.40 = 237,746.64 : x
  2. Step 2: Convert to fraction form
    407,457.84/562,327.40 = 237,746.64/x
  3. Step 3: Cross multiply
    407,457.84x = 562,327.40 × 237,746.64
  4. Step 4: Simplify right side
    407,457.84x = 133,691,445,929.57
  5. Step 5: Solve for x
    x = 133,691,445,929.57/407,457.84
  6. Step 6: Final answer
    x = 328,111.12

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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.