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Finding the Fourth Proportional to 529,678.23, 730,970.10 and 287,977.11

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Solution

The fourth proportional to 529,678.23, 730,970.10 and 287,977.11 is: 397,416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,678.23 : 730,970.10 = 287,977.11 : x
  2. Step 2: Convert to fraction form
    529,678.23/730,970.10 = 287,977.11/x
  3. Step 3: Cross multiply
    529,678.23x = 730,970.10 × 287,977.11
  4. Step 4: Simplify right side
    529,678.23x = 210,502,656,894.41
  5. Step 5: Solve for x
    x = 210,502,656,894.41/529,678.23
  6. Step 6: Final answer
    x = 397,416.10

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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.