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Finding the Fourth Proportional to 515,081.16, 710,572.16 and 333,851.76

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Solution

The fourth proportional to 515,081.16, 710,572.16 and 333,851.76 is: 460,559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,081.16 : 710,572.16 = 333,851.76 : x
  2. Step 2: Convert to fraction form
    515,081.16/710,572.16 = 333,851.76/x
  3. Step 3: Cross multiply
    515,081.16x = 710,572.16 × 333,851.76
  4. Step 4: Simplify right side
    515,081.16x = 237,225,767,057.63
  5. Step 5: Solve for x
    x = 237,225,767,057.63/515,081.16
  6. Step 6: Final answer
    x = 460,559.98

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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.