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Finding the Fourth Proportional to 603,547.47, 905,461.29 and 177,066

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Solution

The fourth proportional to 603,547.47, 905,461.29 and 177,066 is: 265,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,547.47 : 905,461.29 = 177,066 : x
  2. Step 2: Convert to fraction form
    603,547.47/905,461.29 = 177,066/x
  3. Step 3: Cross multiply
    603,547.47x = 905,461.29 × 177,066
  4. Step 4: Simplify right side
    603,547.47x = 160,326,408,775.14
  5. Step 5: Solve for x
    x = 160,326,408,775.14/603,547.47
  6. Step 6: Final answer
    x = 265,640.10

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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.