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Finding the Fourth Proportional to 535,075.44, 802,547.52 and 310,558

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Solution

The fourth proportional to 535,075.44, 802,547.52 and 310,558 is: 465,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,075.44 : 802,547.52 = 310,558 : x
  2. Step 2: Convert to fraction form
    535,075.44/802,547.52 = 310,558/x
  3. Step 3: Cross multiply
    535,075.44x = 802,547.52 × 310,558
  4. Step 4: Simplify right side
    535,075.44x = 249,237,552,716.16
  5. Step 5: Solve for x
    x = 249,237,552,716.16/535,075.44
  6. Step 6: Final answer
    x = 465,798.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.