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Finding the Fourth Proportional to 333,242.96, 459,547.64 and 305,582.28

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Solution

The fourth proportional to 333,242.96, 459,547.64 and 305,582.28 is: 421,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,242.96 : 459,547.64 = 305,582.28 : x
  2. Step 2: Convert to fraction form
    333,242.96/459,547.64 = 305,582.28/x
  3. Step 3: Cross multiply
    333,242.96x = 459,547.64 × 305,582.28
  4. Step 4: Simplify right side
    333,242.96x = 140,429,615,599.82
  5. Step 5: Solve for x
    x = 140,429,615,599.82/333,242.96
  6. Step 6: Final answer
    x = 421,403.10

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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.