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Finding the Fourth Proportional to 585,336.16, 807,762.54 and 317,064.16

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Solution

The fourth proportional to 585,336.16, 807,762.54 and 317,064.16 is: 437,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,336.16 : 807,762.54 = 317,064.16 : x
  2. Step 2: Convert to fraction form
    585,336.16/807,762.54 = 317,064.16/x
  3. Step 3: Cross multiply
    585,336.16x = 807,762.54 × 317,064.16
  4. Step 4: Simplify right side
    585,336.16x = 256,112,551,224.57
  5. Step 5: Solve for x
    x = 256,112,551,224.57/585,336.16
  6. Step 6: Final answer
    x = 437,547.80

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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.