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Finding the Fourth Proportional to 349,062.40, 522,038.40 and 293,075.20

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Solution

The fourth proportional to 349,062.40, 522,038.40 and 293,075.20 is: 438,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,062.40 : 522,038.40 = 293,075.20 : x
  2. Step 2: Convert to fraction form
    349,062.40/522,038.40 = 293,075.20/x
  3. Step 3: Cross multiply
    349,062.40x = 522,038.40 × 293,075.20
  4. Step 4: Simplify right side
    349,062.40x = 152,996,508,487.68
  5. Step 5: Solve for x
    x = 152,996,508,487.68/349,062.40
  6. Step 6: Final answer
    x = 438,307.04

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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.