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Finding the Fourth Proportional to 301,802.40, 452,703.60 and 202,075.20

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Solution

The fourth proportional to 301,802.40, 452,703.60 and 202,075.20 is: 303,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,802.40 : 452,703.60 = 202,075.20 : x
  2. Step 2: Convert to fraction form
    301,802.40/452,703.60 = 202,075.20/x
  3. Step 3: Cross multiply
    301,802.40x = 452,703.60 × 202,075.20
  4. Step 4: Simplify right side
    301,802.40x = 91,480,170,510.72
  5. Step 5: Solve for x
    x = 91,480,170,510.72/301,802.40
  6. Step 6: Final answer
    x = 303,112.80

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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.