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Finding the Fourth Proportional to 559,547.74, 772,151.70 and 317,829.58

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Solution

The fourth proportional to 559,547.74, 772,151.70 and 317,829.58 is: 438,591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,547.74 : 772,151.70 = 317,829.58 : x
  2. Step 2: Convert to fraction form
    559,547.74/772,151.70 = 317,829.58/x
  3. Step 3: Cross multiply
    559,547.74x = 772,151.70 × 317,829.58
  4. Step 4: Simplify right side
    559,547.74x = 245,412,650,507.29
  5. Step 5: Solve for x
    x = 245,412,650,507.29/559,547.74
  6. Step 6: Final answer
    x = 438,591.09

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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.