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Finding the Fourth Proportional to 610,075.78, 841,954.95 and 338,228.94

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Solution

The fourth proportional to 610,075.78, 841,954.95 and 338,228.94 is: 466,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,075.78 : 841,954.95 = 338,228.94 : x
  2. Step 2: Convert to fraction form
    610,075.78/841,954.95 = 338,228.94/x
  3. Step 3: Cross multiply
    610,075.78x = 841,954.95 × 338,228.94
  4. Step 4: Simplify right side
    610,075.78x = 284,773,530,266.25
  5. Step 5: Solve for x
    x = 284,773,530,266.25/610,075.78
  6. Step 6: Final answer
    x = 466,783.87

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1.5x scale

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.