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Finding the Fourth Proportional to 524,205.16, 785,024.70 and 243,802.60

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Solution

The fourth proportional to 524,205.16, 785,024.70 and 243,802.60 is: 365,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,205.16 : 785,024.70 = 243,802.60 : x
  2. Step 2: Convert to fraction form
    524,205.16/785,024.70 = 243,802.60/x
  3. Step 3: Cross multiply
    524,205.16x = 785,024.70 × 243,802.60
  4. Step 4: Simplify right side
    524,205.16x = 191,391,062,924.22
  5. Step 5: Solve for x
    x = 191,391,062,924.22/524,205.16
  6. Step 6: Final answer
    x = 365,107.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.