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Finding the Fourth Proportional to 788,464, 1,088,080.32 and 430,768

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Solution

The fourth proportional to 788,464, 1,088,080.32 and 430,768 is: 594,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,464 : 1,088,080.32 = 430,768 : x
  2. Step 2: Convert to fraction form
    788,464/1,088,080.32 = 430,768/x
  3. Step 3: Cross multiply
    788,464x = 1,088,080.32 × 430,768
  4. Step 4: Simplify right side
    788,464x = 468,710,183,285.76
  5. Step 5: Solve for x
    x = 468,710,183,285.76/788,464
  6. Step 6: Final answer
    x = 594,459.84

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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.