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Finding the Fourth Proportional to 532,971.09, 735,575.11 and 339,316.94

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Solution

The fourth proportional to 532,971.09, 735,575.11 and 339,316.94 is: 468,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,971.09 : 735,575.11 = 339,316.94 : x
  2. Step 2: Convert to fraction form
    532,971.09/735,575.11 = 339,316.94/x
  3. Step 3: Cross multiply
    532,971.09x = 735,575.11 × 339,316.94
  4. Step 4: Simplify right side
    532,971.09x = 249,593,096,116.51
  5. Step 5: Solve for x
    x = 249,593,096,116.51/532,971.09
  6. Step 6: Final answer
    x = 468,305.13

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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.