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Finding the Fourth Proportional to 463,075.02, 638,430.93 and 333,905.40

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Solution

The fourth proportional to 463,075.02, 638,430.93 and 333,905.40 is: 460,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,075.02 : 638,430.93 = 333,905.40 : x
  2. Step 2: Convert to fraction form
    463,075.02/638,430.93 = 333,905.40/x
  3. Step 3: Cross multiply
    463,075.02x = 638,430.93 × 333,905.40
  4. Step 4: Simplify right side
    463,075.02x = 213,175,535,054.02
  5. Step 5: Solve for x
    x = 213,175,535,054.02/463,075.02
  6. Step 6: Final answer
    x = 460,347.73

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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.