Home / 1,411,830.41-1,948,123.12-830,708.06

Finding the Fourth Proportional to 1,411,830.41, 1,948,123.12 and 830,708.06

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Solution

The fourth proportional to 1,411,830.41, 1,948,123.12 and 830,708.06 is: 1,146,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,830.41 : 1,948,123.12 = 830,708.06 : x
  2. Step 2: Convert to fraction form
    1,411,830.41/1,948,123.12 = 830,708.06/x
  3. Step 3: Cross multiply
    1,411,830.41x = 1,948,123.12 × 830,708.06
  4. Step 4: Simplify right side
    1,411,830.41x = 1,618,321,577,656.35
  5. Step 5: Solve for x
    x = 1,618,321,577,656.35/1,411,830.41
  6. Step 6: Final answer
    x = 1,146,257.77

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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.