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Finding the Fourth Proportional to 559,547.24, 772,151.01 and 317,829.08

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Solution

The fourth proportional to 559,547.24, 772,151.01 and 317,829.08 is: 438,590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,547.24 : 772,151.01 = 317,829.08 : x
  2. Step 2: Convert to fraction form
    559,547.24/772,151.01 = 317,829.08/x
  3. Step 3: Cross multiply
    559,547.24x = 772,151.01 × 317,829.08
  4. Step 4: Simplify right side
    559,547.24x = 245,412,045,129.37
  5. Step 5: Solve for x
    x = 245,412,045,129.37/559,547.24
  6. Step 6: Final answer
    x = 438,590.40

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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.