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Finding the Fourth Proportional to 556,547.59, 768,035.93 and 314,825.03

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Solution

The fourth proportional to 556,547.59, 768,035.93 and 314,825.03 is: 434,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,547.59 : 768,035.93 = 314,825.03 : x
  2. Step 2: Convert to fraction form
    556,547.59/768,035.93 = 314,825.03/x
  3. Step 3: Cross multiply
    556,547.59x = 768,035.93 × 314,825.03
  4. Step 4: Simplify right side
    556,547.59x = 241,796,932,169.16
  5. Step 5: Solve for x
    x = 241,796,932,169.16/556,547.59
  6. Step 6: Final answer
    x = 434,458.68

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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.