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Finding the Fourth Proportional to 524,910.66, 724,399.68 and 295,482.78

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Solution

The fourth proportional to 524,910.66, 724,399.68 and 295,482.78 is: 407,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,910.66 : 724,399.68 = 295,482.78 : x
  2. Step 2: Convert to fraction form
    524,910.66/724,399.68 = 295,482.78/x
  3. Step 3: Cross multiply
    524,910.66x = 724,399.68 × 295,482.78
  4. Step 4: Simplify right side
    524,910.66x = 214,047,631,277.51
  5. Step 5: Solve for x
    x = 214,047,631,277.51/524,910.66
  6. Step 6: Final answer
    x = 407,779.17

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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.