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Finding the Fourth Proportional to 290,828.16, 436,443.12 and 191,036.16

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Solution

The fourth proportional to 290,828.16, 436,443.12 and 191,036.16 is: 286,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,828.16 : 436,443.12 = 191,036.16 : x
  2. Step 2: Convert to fraction form
    290,828.16/436,443.12 = 191,036.16/x
  3. Step 3: Cross multiply
    290,828.16x = 436,443.12 × 191,036.16
  4. Step 4: Simplify right side
    290,828.16x = 83,376,417,703.22
  5. Step 5: Solve for x
    x = 83,376,417,703.22/290,828.16
  6. Step 6: Final answer
    x = 286,686.19

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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.