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Finding the Fourth Proportional to 424,038.48, 584,929.44 and 264,786

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Solution

The fourth proportional to 424,038.48, 584,929.44 and 264,786 is: 365,252.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,038.48 : 584,929.44 = 264,786 : x
  2. Step 2: Convert to fraction form
    424,038.48/584,929.44 = 264,786/x
  3. Step 3: Cross multiply
    424,038.48x = 584,929.44 × 264,786
  4. Step 4: Simplify right side
    424,038.48x = 154,881,126,699.84
  5. Step 5: Solve for x
    x = 154,881,126,699.84/424,038.48
  6. Step 6: Final answer
    x = 365,252.53

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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.