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Finding the Fourth Proportional to 1,354,929.23, 1,869,667.59 and 782,153.93

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Solution

The fourth proportional to 1,354,929.23, 1,869,667.59 and 782,153.93 is: 1,079,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,929.23 : 1,869,667.59 = 782,153.93 : x
  2. Step 2: Convert to fraction form
    1,354,929.23/1,869,667.59 = 782,153.93/x
  3. Step 3: Cross multiply
    1,354,929.23x = 1,869,667.59 × 782,153.93
  4. Step 4: Simplify right side
    1,354,929.23x = 1,462,367,853,312.13
  5. Step 5: Solve for x
    x = 1,462,367,853,312.13/1,354,929.23
  6. Step 6: Final answer
    x = 1,079,294.64

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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.