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Finding the Fourth Proportional to 497,031.75, 745,547.63 and 123,054.75

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Solution

The fourth proportional to 497,031.75, 745,547.63 and 123,054.75 is: 184,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,031.75 : 745,547.63 = 123,054.75 : x
  2. Step 2: Convert to fraction form
    497,031.75/745,547.63 = 123,054.75/x
  3. Step 3: Cross multiply
    497,031.75x = 745,547.63 × 123,054.75
  4. Step 4: Simplify right side
    497,031.75x = 91,743,176,607.47
  5. Step 5: Solve for x
    x = 91,743,176,607.47/497,031.75
  6. Step 6: Final answer
    x = 184,582.13

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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.