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Finding the Fourth Proportional to 567,446.16, 783,075.54 and 312,801.60

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Solution

The fourth proportional to 567,446.16, 783,075.54 and 312,801.60 is: 431,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,446.16 : 783,075.54 = 312,801.60 : x
  2. Step 2: Convert to fraction form
    567,446.16/783,075.54 = 312,801.60/x
  3. Step 3: Cross multiply
    567,446.16x = 783,075.54 × 312,801.60
  4. Step 4: Simplify right side
    567,446.16x = 244,947,281,832.86
  5. Step 5: Solve for x
    x = 244,947,281,832.86/567,446.16
  6. Step 6: Final answer
    x = 431,666.12

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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.